75990272 has 72 divisors (see below), whose sum is σ = 169243200. Its totient is φ = 33841152.

The previous prime is 75990251. The next prime is 75990283. The reversal of 75990272 is 27209957.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82229 + ... + 83147.

It is an arithmetic number, because the mean of its divisors is an integer number (2350600).

Almost surely, 2^75990272 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 75990272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84621600).

75990272 is an abundant number, since it is smaller than the sum of its proper divisors (93252928).

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

75990272 is a wasteful number, since it uses less digits than its factorization.

75990272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 41.

The square root of 75990272 is about 8717.2399301614. The cubic root of 75990272 is about 423.5642848070.

The spelling of 75990272 in words is "seventy-five million, nine hundred ninety thousand, two hundred seventy-two".