75820752 has 80 divisors (see below), whose sum is σ = 248734080. Its totient is φ = 21662208.

The previous prime is 75820741. The next prime is 75820777. The reversal of 75820752 is 25702857.

75820752 is a `hidden beast` number, since 7 + 582 + 0 + 75 + 2 = 666.

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

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, 9513 + ... + 15560.

It is an arithmetic number, because the mean of its divisors is an integer number (3109176).

Almost surely, 2^75820752 is an apocalyptic number.

75820752 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

75820752 is an abundant number, since it is smaller than the sum of its proper divisors (172913328).

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

75820752 is a wasteful number, since it uses less digits than its factorization.

75820752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25097 (or 25085 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 75820752 is about 8707.5112403028. The cubic root of 75820752 is about 423.2490862312.

The spelling of 75820752 in words is "seventy-five million, eight hundred twenty thousand, seven hundred fifty-two".