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72310352 = 2419317673
BaseRepresentation
bin1000100111101…
…01111001010000
312001001202011012
410103311321100
5122002412402
611101510052
71535425232
oct423657120
9161052135
1072310352
11378a9924
1220272328
1311c9a2ba
149864252
156535452
hex44f5e50

72310352 has 40 divisors (see below), whose sum is σ = 152252160. Its totient is φ = 33143040.

The previous prime is 72310331. The next prime is 72310361. The reversal of 72310352 is 25301327.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5588 + ... + 13260.

It is an arithmetic number, because the mean of its divisors is an integer number (3806304).

Almost surely, 272310352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72310352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76126080).

72310352 is an abundant number, since it is smaller than the sum of its proper divisors (79941808).

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

72310352 is a wasteful number, since it uses less digits than its factorization.

72310352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7731 (or 7725 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 23.

The square root of 72310352 is about 8503.5493765839. The cubic root of 72310352 is about 416.6136468714.

Adding to 72310352 its reverse (25301327), we get a palindrome (97611679).

The spelling of 72310352 in words is "seventy-two million, three hundred ten thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 19 31 38 62 76 124 152 248 304 496 589 1178 2356 4712 7673 9424 15346 30692 61384 122768 145787 237863 291574 475726 583148 951452 1166296 1902904 2332592 3805808 4519397 9038794 18077588 36155176 72310352