91872288 has 36 divisors (see below), whose sum is σ = 261262638. Its totient is φ = 30624000.

The previous prime is 91872269. The next prime is 91872293. The reversal of 91872288 is 88227819.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 90098064 + 1774224 = 9492^2 + 1332^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 5 ways as a sum of consecutive naturals, for example, 159213 + ... + 159788.

Almost surely, 2^91872288 is an apocalyptic number.

It is an amenable number.

91872288 is an abundant number, since it is smaller than the sum of its proper divisors (169390350).

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

91872288 is a wasteful number, since it uses less digits than its factorization.

91872288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319017 (or 319006 counting only the distinct ones).

The product of its digits is 129024, while the sum is 45.

The square root of 91872288 is about 9585.0032863844. The cubic root of 91872288 is about 451.2267563732.

The spelling of 91872288 in words is "ninety-one million, eight hundred seventy-two thousand, two hundred eighty-eight".