75052656 has 100 divisors (see below), whose sum is σ = 248286192. Its totient is φ = 21441024.

The previous prime is 75052589. The next prime is 75052669. The reversal of 75052656 is 65625057.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 75052656.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4936 + ... + 13208.

Almost surely, 2^75052656 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 75052656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124143096).

75052656 is an abundant number, since it is smaller than the sum of its proper divisors (173233536).

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

75052656 is a wasteful number, since it uses less digits than its factorization.

75052656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8300 (or 8285 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 75052656 is about 8663.2936000115. The cubic root of 75052656 is about 421.8150024307.

The spelling of 75052656 in words is "seventy-five million, fifty-two thousand, six hundred fifty-six".