91530972 has 120 divisors (see below), whose sum is σ = 266378112. Its totient is φ = 27216000.

The previous prime is 91530953. The next prime is 91530991. The reversal of 91530972 is 27903519.

It is an interprime number because it is at equal distance from previous prime (91530953) and next prime (91530991).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 130222 + ... + 130922.

Almost surely, 2^91530972 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 91530972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133189056).

91530972 is an abundant number, since it is smaller than the sum of its proper divisors (174847140).

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

91530972 is a wasteful number, since it uses less digits than its factorization.

91530972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 91530972 is about 9567.1820302532. The cubic root of 91530972 is about 450.6672767149.

The spelling of 91530972 in words is "ninety-one million, five hundred thirty thousand, nine hundred seventy-two".