75901872 has 80 divisors (see below), whose sum is σ = 209129472. Its totient is φ = 23639040.

The previous prime is 75901871. The next prime is 75901877. The reversal of 75901872 is 27810957.

It is a super-2 number, since 2×75901872² = 11522188346208768, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 75901872.

It is not an unprimeable number, because it can be changed into a prime (75901871) by changing a digit.

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, 155613 + ... + 156099.

Almost surely, 2^75901872 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 75901872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104564736).

75901872 is an abundant number, since it is smaller than the sum of its proper divisors (133227600).

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

75901872 is a wasteful number, since it uses less digits than its factorization.

75901872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 39.

The square root of 75901872 is about 8712.1680424565. The cubic root of 75901872 is about 423.3999760061.

The spelling of 75901872 in words is "seventy-five million, nine hundred one thousand, eight hundred seventy-two".