72656024 has 48 divisors (see below), whose sum is σ = 160705800. Its totient is φ = 30699648.

The previous prime is 72656009. The next prime is 72656027. The reversal of 72656024 is 42065627.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72656027) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27347 + ... + 29885.

Almost surely, 2^72656024 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 72656024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80352900).

72656024 is an abundant number, since it is smaller than the sum of its proper divisors (88049776).

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

72656024 is a wasteful number, since it uses less digits than its factorization.

72656024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2632 (or 2621 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 72656024 is about 8523.8503037067. The cubic root of 72656024 is about 417.2764510138.

The spelling of 72656024 in words is "seventy-two million, six hundred fifty-six thousand, twenty-four".