75952704 has 56 divisors (see below), whose sum is σ = 203748640. Its totient is φ = 24966144.

The previous prime is 75952703. The next prime is 75952717. The reversal of 75952704 is 40725957.

It is not an unprimeable number, because it can be changed into a prime (75952703) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11307 + ... + 16725.

Almost surely, 2^75952704 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 75952704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101874320).

75952704 is an abundant number, since it is smaller than the sum of its proper divisors (127795936).

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

75952704 is a wasteful number, since it uses less digits than its factorization.

75952704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5507 (or 5497 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 39.

The square root of 75952704 is about 8715.0848532874. The cubic root of 75952704 is about 423.4944728622.

The spelling of 75952704 in words is "seventy-five million, nine hundred fifty-two thousand, seven hundred four".