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70209072 = 2433331491
BaseRepresentation
bin1000010111101…
…00111000110000
311220002222202000
410023310320300
5120433142242
610544454000
71511524113
oct413647060
9156088660
1070209072
11366a412a
121b61a300
1311712a3b
14947857a
15626ca4c
hex42f4e30

70209072 has 80 divisors (see below), whose sum is σ = 202546560. Its totient is φ = 23284800.

The previous prime is 70209049. The next prime is 70209101. The reversal of 70209072 is 27090207.

It is a super-2 number, since 2×702090722 = 9858627582202368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142747 + ... + 143237.

It is an arithmetic number, because the mean of its divisors is an integer number (2531832).

Almost surely, 270209072 is an apocalyptic number.

70209072 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70209072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101273280).

70209072 is an abundant number, since it is smaller than the sum of its proper divisors (132337488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

70209072 is a wasteful number, since it uses less digits than its factorization.

70209072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 70209072 is about 8379.0853916164. The cubic root of 70209072 is about 412.5384294776.

Adding to 70209072 its reverse (27090207), we get a palindrome (97299279).

The spelling of 70209072 in words is "seventy million, two hundred nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 331 432 491 662 982 993 1324 1473 1964 1986 2648 2946 2979 3928 3972 4419 5296 5892 5958 7856 7944 8838 8937 11784 11916 13257 15888 17676 17874 23568 23832 26514 35352 35748 47664 53028 70704 71496 106056 142992 162521 212112 325042 487563 650084 975126 1300168 1462689 1950252 2600336 2925378 3900504 4388067 5850756 7801008 8776134 11701512 17552268 23403024 35104536 70209072