91965072 has 20 divisors (see below), whose sum is σ = 237576560. Its totient is φ = 30655008.

The previous prime is 91965067. The next prime is 91965101. The reversal of 91965072 is 27056919.

It is a super-3 number, since 3×91965072³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 91965072.

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 3 ways as a sum of consecutive naturals, for example, 957922 + ... + 958017.

It is an arithmetic number, because the mean of its divisors is an integer number (11878828).

Almost surely, 2^91965072 is an apocalyptic number.

It is an amenable number.

91965072 is an abundant number, since it is smaller than the sum of its proper divisors (145611488).

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

91965072 is a wasteful number, since it uses less digits than its factorization.

91965072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1915950 (or 1915944 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 39.

The square root of 91965072 is about 9589.8421259164. The cubic root of 91965072 is about 451.3786067956.

The spelling of 91965072 in words is "ninety-one million, nine hundred sixty-five thousand, seventy-two".