72967888 has 40 divisors (see below), whose sum is σ = 162043200. Its totient is φ = 31180800.

The previous prime is 72967877. The next prime is 72967889. The reversal of 72967888 is 88876927.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72967889) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49563 + ... + 51013.

It is an arithmetic number, because the mean of its divisors is an integer number (4051080).

Almost surely, 2^72967888 is an apocalyptic number.

It is an amenable number.

72967888 is an abundant number, since it is smaller than the sum of its proper divisors (89075312).

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

72967888 is a wasteful number, since it uses less digits than its factorization.

72967888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1915 (or 1909 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 55.

The square root of 72967888 is about 8542.1243259508. The cubic root of 72967888 is about 417.8726289423.

The spelling of 72967888 in words is "seventy-two million, nine hundred sixty-seven thousand, eight hundred eighty-eight".