75492864 has 160 divisors (see below), whose sum is σ = 230461440. Its totient is φ = 24385536.

The previous prime is 75492817. The next prime is 75492881. The reversal of 75492864 is 46829457.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 594369 + ... + 594495.

It is an arithmetic number, because the mean of its divisors is an integer number (1440384).

Almost surely, 2^75492864 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 75492864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115230720).

75492864 is an abundant number, since it is smaller than the sum of its proper divisors (154968576).

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

75492864 is a wasteful number, since it uses less digits than its factorization.

75492864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 175 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 75492864 is about 8688.6629581311. The cubic root of 75492864 is about 422.6380889147.

The spelling of 75492864 in words is "seventy-five million, four hundred ninety-two thousand, eight hundred sixty-four".