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72100070 = 2572269547
BaseRepresentation
bin1000100110000…
…10100011100110
312000200001200222
410103002203212
5121424200240
611053204342
71533561200
oct423024346
9160601628
1072100070
1137775939
12201906b2
1311c25683
14980b770
1564e2eb5
hex44c28e6

72100070 has 48 divisors (see below), whose sum is σ = 151806960. Its totient is φ = 24583104.

The previous prime is 72100069. The next prime is 72100081. The reversal of 72100070 is 7000127.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131537 + ... + 132083.

It is an arithmetic number, because the mean of its divisors is an integer number (3162645).

Almost surely, 272100070 is an apocalyptic number.

72100070 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

72100070 is an abundant number, since it is smaller than the sum of its proper divisors (79706890).

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

72100070 is a wasteful number, since it uses less digits than its factorization.

72100070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 17.

The square root of 72100070 is about 8491.1760080686. The cubic root of 72100070 is about 416.2094105618.

Adding to 72100070 its reverse (7000127), we get a palindrome (79100197).

The spelling of 72100070 in words is "seventy-two million, one hundred thousand, seventy".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 269 490 538 547 1094 1345 1883 2690 2735 3766 3829 5470 7658 9415 13181 18830 19145 26362 26803 38290 53606 65905 131810 134015 147143 268030 294286 735715 1030001 1471430 2060002 5150005 7210007 10300010 14420014 36050035 72100070