91272528 has 80 divisors (see below), whose sum is σ = 266500800. Its totient is φ = 29900160.

The previous prime is 91272521. The next prime is 91272539. The reversal of 91272528 is 82527219.

91272528 is a `hidden beast` number, since 9 + 127 + 2 + 528 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 91272492 and 91272501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91272521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23698 + ... + 27278.

It is an arithmetic number, because the mean of its divisors is an integer number (3331260).

Almost surely, 2^91272528 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 91272528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133250400).

91272528 is an abundant number, since it is smaller than the sum of its proper divisors (175228272).

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

91272528 is a wasteful number, since it uses less digits than its factorization.

91272528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3657 (or 3645 counting only the distinct ones).

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

The square root of 91272528 is about 9553.6656839142. The cubic root of 91272528 is about 450.2427135101.

The spelling of 91272528 in words is "ninety-one million, two hundred seventy-two thousand, five hundred twenty-eight".