75972864 has 216 divisors, whose sum is σ = 244151712. Its totient is φ = 20725760.

The previous prime is 75972859. The next prime is 75972893. The reversal of 75972864 is 46827957.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (846720) is a multiple of the sum of its prime divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3303157 + ... + 3303179.

It is an arithmetic number, because the mean of its divisors is an integer number (1130332).

Almost surely, 2^75972864 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 75972864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122075856).

75972864 is an abundant number, since it is smaller than the sum of its proper divisors (168178848).

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

75972864 is a wasteful number, since it uses less digits than its factorization.

75972864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 56 counting only the distinct ones).

The product of its digits is 846720, while the sum is 48.

The square root of 75972864 is about 8716.2413917927. The cubic root of 75972864 is about 423.5319386923.

The spelling of 75972864 in words is "seventy-five million, nine hundred seventy-two thousand, eight hundred sixty-four".