75684952 has 64 divisors (see below), whose sum is σ = 173560320. Its totient is φ = 30202368.

The previous prime is 75684949. The next prime is 75684967. The reversal of 75684952 is 25948657.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101493 + ... + 102235.

It is an arithmetic number, because the mean of its divisors is an integer number (2711880).

Almost surely, 2^75684952 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 75684952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86780160).

75684952 is an abundant number, since it is smaller than the sum of its proper divisors (97875368).

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

75684952 is a wasteful number, since it uses less digits than its factorization.

75684952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 876 counting only the distinct ones).

The product of its digits is 604800, while the sum is 46.

The square root of 75684952 is about 8699.7098802201. The cubic root of 75684952 is about 422.9962461500.

It can be divided in two parts, 75684 and 952, that added together give a triangular number (76636 = T₃₉₁).

The spelling of 75684952 in words is "seventy-five million, six hundred eighty-four thousand, nine hundred fifty-two".