91272632800 has 144 divisors (see below), whose sum is σ = 238580354880. Its totient is φ = 33974927360.

The previous prime is 91272632743. The next prime is 91272632807. The reversal of 91272632800 is 823627219.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91272632807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1172697 + ... + 1248103.

It is an arithmetic number, because the mean of its divisors is an integer number (1656808020).

Almost surely, 2^91272632800 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 91272632800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119290177440).

91272632800 is an abundant number, since it is smaller than the sum of its proper divisors (147307722080).

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

91272632800 is a wasteful number, since it uses less digits than its factorization.

91272632800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75533 (or 75520 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The spelling of 91272632800 in words is "ninety-one billion, two hundred seventy-two million, six hundred thirty-two thousand, eight hundred".