72867888 has 60 divisors (see below), whose sum is σ = 214670040. Its totient is φ = 23010048.

The previous prime is 72867881. The next prime is 72867953. The reversal of 72867888 is 88876827.

It is not an unprimeable number, because it can be changed into a prime (72867881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10581 + ... + 16052.

It is an arithmetic number, because the mean of its divisors is an integer number (3577834).

Almost surely, 2^72867888 is an apocalyptic number.

It is an amenable number.

72867888 is an abundant number, since it is smaller than the sum of its proper divisors (141802152).

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

72867888 is a wasteful number, since it uses less digits than its factorization.

72867888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26666 (or 26657 counting only the distinct ones).

The product of its digits is 2408448, while the sum is 54.

The square root of 72867888 is about 8536.2689742065. The cubic root of 72867888 is about 417.6816482798.

The spelling of 72867888 in words is "seventy-two million, eight hundred sixty-seven thousand, eight hundred eighty-eight".