72293928 has 96 divisors (see below), whose sum is σ = 219566400. Its totient is φ = 19427328.

The previous prime is 72293873. The next prime is 72293951. The reversal of 72293928 is 82939227.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 72293928.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47808 + ... + 49296.

It is an arithmetic number, because the mean of its divisors is an integer number (2287150).

Almost surely, 2^72293928 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 72293928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109783200).

72293928 is an abundant number, since it is smaller than the sum of its proper divisors (147272472).

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

72293928 is a wasteful number, since it uses less digits than its factorization.

72293928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1539 (or 1518 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 72293928 is about 8502.5836073514. The cubic root of 72293928 is about 416.5821023763.

The spelling of 72293928 in words is "seventy-two million, two hundred ninety-three thousand, nine hundred twenty-eight".