91872256 has 66 divisors (see below), whose sum is σ = 213755928. Its totient is φ = 39352320.

The previous prime is 91872241. The next prime is 91872259. The reversal of 91872256 is 65227819.

It is a super-2 number, since 2×91872256² = 16881022845059072, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91872259) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 49261 + ... + 51091.

Almost surely, 2^91872256 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 91872256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106877964).

91872256 is an abundant number, since it is smaller than the sum of its proper divisors (121883672).

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

91872256 is a wasteful number, since it uses less digits than its factorization.

91872256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1865 (or 1840 counting only the distinct ones).

The product of its digits is 60480, while the sum is 40.

The square root of 91872256 is about 9585.0016171099. The cubic root of 91872256 is about 451.2267039843.

The spelling of 91872256 in words is "ninety-one million, eight hundred seventy-two thousand, two hundred fifty-six".