72813888 has 84 divisors (see below), whose sum is σ = 238536480. Its totient is φ = 20802816.

The previous prime is 72813887. The next prime is 72813911. The reversal of 72813888 is 88831827.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (84).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72813887) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4998 + ... + 13061.

It is an arithmetic number, because the mean of its divisors is an integer number (2839720).

Almost surely, 2^72813888 is an apocalyptic number.

It is an amenable number.

72813888 is an abundant number, since it is smaller than the sum of its proper divisors (165722592).

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

72813888 is a wasteful number, since it uses less digits than its factorization.

72813888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18084 (or 18071 counting only the distinct ones).

The product of its digits is 172032, while the sum is 45.

The square root of 72813888 is about 8533.1054136229. The cubic root of 72813888 is about 417.5784460624.

The spelling of 72813888 in words is "seventy-two million, eight hundred thirteen thousand, eight hundred eighty-eight".