75901952 has 44 divisors (see below), whose sum is σ = 173421840. Its totient is φ = 32526336.

The previous prime is 75901937. The next prime is 75901963. The reversal of 75901952 is 25910957.

It is a super-2 number, since 2×75901952² = 11522212634820608, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1874 + ... + 12462.

Almost surely, 2^75901952 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 75901952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86710920).

75901952 is an abundant number, since it is smaller than the sum of its proper divisors (97519888).

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

75901952 is a wasteful number, since it uses less digits than its factorization.

75901952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10616 (or 10598 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 38.

The square root of 75901952 is about 8712.1726337349. The cubic root of 75901952 is about 423.4001247595.

The spelling of 75901952 in words is "seventy-five million, nine hundred one thousand, nine hundred fifty-two".