75124864 has 32 divisors (see below), whose sum is σ = 150487740. Its totient is φ = 37355520.

The previous prime is 75124843. The next prime is 75124891. The reversal of 75124864 is 46842157.

It can be written as a sum of positive squares in 2 ways, for example, as 72590400 + 2534464 = 8520^2 + 1592^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23184 + ... + 26224.

Almost surely, 2^75124864 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 75124864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75243870).

75124864 is an abundant number, since it is smaller than the sum of its proper divisors (75362876).

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

75124864 is a wasteful number, since it uses less digits than its factorization.

75124864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3248 (or 3236 counting only the distinct ones).

The product of its digits is 53760, while the sum is 37.

The square root of 75124864 is about 8667.4600662478. The cubic root of 75124864 is about 421.9502348420.

The spelling of 75124864 in words is "seventy-five million, one hundred twenty-four thousand, eight hundred sixty-four".