72814884 has 12 divisors (see below), whose sum is σ = 169901424. Its totient is φ = 24271624.

The previous prime is 72814883. The next prime is 72814913. The reversal of 72814884 is 48841827.

It is a tau number, because it is divible by the number of its divisors (12).

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

It is not an unprimeable number, because it can be changed into a prime (72814883) 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, 3033942 + ... + 3033965.

It is an arithmetic number, because the mean of its divisors is an integer number (14158452).

Almost surely, 2^72814884 is an apocalyptic number.

It is an amenable number.

72814884 is an abundant number, since it is smaller than the sum of its proper divisors (97086540).

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

72814884 is a wasteful number, since it uses less digits than its factorization.

72814884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6067914 (or 6067912 counting only the distinct ones).

The product of its digits is 114688, while the sum is 42.

The square root of 72814884 is about 8533.1637743571. The cubic root of 72814884 is about 417.5803500318.

The spelling of 72814884 in words is "seventy-two million, eight hundred fourteen thousand, eight hundred eighty-four".