91636272 has 360 divisors, whose sum is σ = 342176016. Its totient is φ = 23514624.

The previous prime is 91636253. The next prime is 91636291. The reversal of 91636272 is 27263619.

It is an interprime number because it is at equal distance from previous prime (91636253) and next prime (91636291).

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2476638 + ... + 2476674.

Almost surely, 2^91636272 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 91636272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171088008).

91636272 is an abundant number, since it is smaller than the sum of its proper divisors (250539744).

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

91636272 is a wasteful number, since it uses less digits than its factorization.

91636272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 62 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 91636272 is about 9572.6836362642. The cubic root of 91636272 is about 450.8400309089.

91636272 divided by its sum of digits (36) gives a palindrome (2545452).

The spelling of 91636272 in words is "ninety-one million, six hundred thirty-six thousand, two hundred seventy-two".