75971952 has 240 divisors, whose sum is σ = 263212320. Its totient is φ = 20901888.

The previous prime is 75971923. The next prime is 75971977. The reversal of 75971952 is 25917957.

75971952 is a `hidden beast` number, since 7 + 597 + 1 + 9 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 75971898 and 75971907.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 783168 + ... + 783264.

It is an arithmetic number, because the mean of its divisors is an integer number (1096718).

Almost surely, 2^75971952 is an apocalyptic number.

75971952 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 75971952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131606160).

75971952 is an abundant number, since it is smaller than the sum of its proper divisors (187240368).

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

75971952 is a wasteful number, since it uses less digits than its factorization.

75971952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 146 counting only the distinct ones).

The product of its digits is 198450, while the sum is 45.

The square root of 75971952 is about 8716.1890755077. The cubic root of 75971952 is about 423.5302439526.

The spelling of 75971952 in words is "seventy-five million, nine hundred seventy-one thousand, nine hundred fifty-two".