75431952 has 80 divisors (see below), whose sum is σ = 217634880. Its totient is φ = 25014528.

The previous prime is 75431903. The next prime is 75431981. The reversal of 75431952 is 25913457.

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

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, 121948 + ... + 122564.

It is an arithmetic number, because the mean of its divisors is an integer number (2720436).

Almost surely, 2^75431952 is an apocalyptic number.

75431952 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75431952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108817440).

75431952 is an abundant number, since it is smaller than the sum of its proper divisors (142202928).

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

75431952 is a wasteful number, since it uses less digits than its factorization.

75431952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 905 counting only the distinct ones).

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

The square root of 75431952 is about 8685.1569933997. The cubic root of 75431952 is about 422.5243887279.

The spelling of 75431952 in words is "seventy-five million, four hundred thirty-one thousand, nine hundred fifty-two".