72844928 has 32 divisors (see below), whose sum is σ = 156287460. Its totient is φ = 33619968.

The previous prime is 72844927. The next prime is 72845023. The reversal of 72844928 is 82944827.

It can be written as a sum of positive squares in 2 ways, for example, as 55472704 + 17372224 = 7448^2 + 4168^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (72844927) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20225 + ... + 23552.

Almost surely, 2^72844928 is an apocalyptic number.

It is an amenable number.

72844928 is an abundant number, since it is smaller than the sum of its proper divisors (83442532).

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

72844928 is a wasteful number, since it uses less digits than its factorization.

72844928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43804 (or 43792 counting only the distinct ones).

The product of its digits is 258048, while the sum is 44.

The square root of 72844928 is about 8534.9240184081. The cubic root of 72844928 is about 417.6377744586.

The spelling of 72844928 in words is "seventy-two million, eight hundred forty-four thousand, nine hundred twenty-eight".