75120864 has 96 divisors (see below), whose sum is σ = 242726400. Its totient is φ = 19809792.

The previous prime is 75120847. The next prime is 75120901. The reversal of 75120864 is 46802157.

It is a tau number, because it is divible by the number of its divisors (96).

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, 4437 + ... + 13035.

It is an arithmetic number, because the mean of its divisors is an integer number (2528400).

Almost surely, 2^75120864 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 75120864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121363200).

75120864 is an abundant number, since it is smaller than the sum of its proper divisors (167605536).

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

75120864 is a wasteful number, since it uses less digits than its factorization.

75120864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8632 (or 8624 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 75120864 is about 8667.2293150695. The cubic root of 75120864 is about 421.9427458394.

The spelling of 75120864 in words is "seventy-five million, one hundred twenty thousand, eight hundred sixty-four".