75206952 has 48 divisors (see below), whose sum is σ = 204085440. Its totient is φ = 25019808.

The previous prime is 75206951. The next prime is 75206993. The reversal of 75206952 is 25960257.

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

It is not an unprimeable number, because it can be changed into a prime (75206951) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67633 + ... + 68735.

It is an arithmetic number, because the mean of its divisors is an integer number (4251780).

Almost surely, 2^75206952 is an apocalyptic number.

75206952 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

75206952 is an abundant number, since it is smaller than the sum of its proper divisors (128878488).

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

75206952 is a wasteful number, since it uses less digits than its factorization.

75206952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2062 (or 2055 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 75206952 is about 8672.1941860177. The cubic root of 75206952 is about 422.1038654815.

The spelling of 75206952 in words is "seventy-five million, two hundred six thousand, nine hundred fifty-two".