91912032 has 72 divisors (see below), whose sum is σ = 262427256. Its totient is φ = 30514176.

The previous prime is 91912031. The next prime is 91912069. The reversal of 91912032 is 23021919.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×91912032³ (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 91911987 and 91912005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91912031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96583 + ... + 97529.

It is an arithmetic number, because the mean of its divisors is an integer number (3644823).

Almost surely, 2^91912032 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 91912032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131213628).

91912032 is an abundant number, since it is smaller than the sum of its proper divisors (170515224).

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

91912032 is a wasteful number, since it uses less digits than its factorization.

91912032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 91912032 is about 9587.0763009376. The cubic root of 91912032 is about 451.2918139699.

The spelling of 91912032 in words is "ninety-one million, nine hundred twelve thousand, thirty-two".