75008952 has 48 divisors (see below), whose sum is σ = 203570640. Its totient is φ = 24951168.

The previous prime is 75008951. The next prime is 75008959. The reversal of 75008952 is 25980057.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75008951) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 51628 + ... + 53060.

It is an arithmetic number, because the mean of its divisors is an integer number (4241055).

Almost surely, 2^75008952 is an apocalyptic number.

75008952 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

75008952 is an abundant number, since it is smaller than the sum of its proper divisors (128561688).

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

75008952 is a wasteful number, since it uses less digits than its factorization.

75008952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2172 (or 2165 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 75008952 is about 8660.7708663837. The cubic root of 75008952 is about 421.7331106705.

The spelling of 75008952 in words is "seventy-five million, eight thousand, nine hundred fifty-two".