91285272 has 256 divisors, whose sum is σ = 302400000. Its totient is φ = 25256448.

The previous prime is 91285261. The next prime is 91285277. The reversal of 91285272 is 27258219.

91285272 is a `hidden beast` number, since 9 + 128 + 527 + 2 = 666.

It is a super-2 number, since 2×91285272² = 16666001768227968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91285277) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1547179 + ... + 1547237.

It is an arithmetic number, because the mean of its divisors is an integer number (1181250).

Almost surely, 2^91285272 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 91285272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151200000).

91285272 is an abundant number, since it is smaller than the sum of its proper divisors (211114728).

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

91285272 is a wasteful number, since it uses less digits than its factorization.

91285272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 125 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 91285272 is about 9554.3326297549. The cubic root of 91285272 is about 450.2636677017.

It can be divided in two parts, 9128 and 5272, that added together give a square (14400 = 120²).

The spelling of 91285272 in words is "ninety-one million, two hundred eighty-five thousand, two hundred seventy-two".