72107256 has 64 divisors (see below), whose sum is σ = 195148800. Its totient is φ = 22071168.

The previous prime is 72107219. The next prime is 72107267. The reversal of 72107256 is 65270127.

It is an alternating number because its digits alternate between odd and even.

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 15 ways as a sum of consecutive naturals, for example, 74085 + ... + 75051.

It is an arithmetic number, because the mean of its divisors is an integer number (3049200).

Almost surely, 2^72107256 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 72107256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97574400).

72107256 is an abundant number, since it is smaller than the sum of its proper divisors (123041544).

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

72107256 is a wasteful number, since it uses less digits than its factorization.

72107256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 72107256 is about 8491.5991426821. The cubic root of 72107256 is about 416.2232375547.

The spelling of 72107256 in words is "seventy-two million, one hundred seven thousand, two hundred fifty-six".