72685944 has 128 divisors (see below), whose sum is σ = 216000000. Its totient is φ = 22581504.

The previous prime is 72685939. The next prime is 72685961. The reversal of 72685944 is 44958627.

It is a happy number.

It is a super-2 number, since 2×72685944² = 10566492910342272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 72685944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 365157 + ... + 365355.

It is an arithmetic number, because the mean of its divisors is an integer number (1687500).

Almost surely, 2^72685944 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 72685944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108000000).

72685944 is an abundant number, since it is smaller than the sum of its proper divisors (143314056).

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

72685944 is a wasteful number, since it uses less digits than its factorization.

72685944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 312 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 72685944 is about 8525.6051984595. The cubic root of 72685944 is about 417.3337217778. Note that the first 3 decimals are identical.

The spelling of 72685944 in words is "seventy-two million, six hundred eighty-five thousand, nine hundred forty-four".