72433728 has 42 divisors (see below), whose sum is σ = 207619854. Its totient is φ = 24144384.

The previous prime is 72433663. The next prime is 72433729. The reversal of 72433728 is 82733427.

It can be written as a sum of positive squares in only one way, i.e., 71368704 + 1065024 = 8448^2 + 1032^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 72433692 and 72433701.

It is not an unprimeable number, because it can be changed into a prime (72433729) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 62301 + ... + 63452.

Almost surely, 2^72433728 is an apocalyptic number.

It is an amenable number.

72433728 is an abundant number, since it is smaller than the sum of its proper divisors (135186126).

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

72433728 is a wasteful number, since it uses less digits than its factorization.

72433728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125771 (or 125758 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 72433728 is about 8510.8006673873. The cubic root of 72433728 is about 416.8504544588.

The spelling of 72433728 in words is "seventy-two million, four hundred thirty-three thousand, seven hundred twenty-eight".