91792000 has 64 divisors (see below), whose sum is σ = 228257640. Its totient is φ = 36710400.

The previous prime is 91791991. The next prime is 91792003. The reversal of 91792000 is 29719.

It can be written as a sum of positive squares in 4 ways, for example, as 4631104 + 87160896 = 2152^2 + 9336^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 91792000.

It is not an unprimeable number, because it can be changed into a prime (91792003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13132 + ... + 18868.

Almost surely, 2^91792000 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 91792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114128820).

91792000 is an abundant number, since it is smaller than the sum of its proper divisors (136465640).

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

91792000 is an equidigital number, since it uses as much as digits as its factorization.

91792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5766 (or 5744 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 28.

The square root of 91792000 is about 9580.8141616462. The cubic root of 91792000 is about 451.0952743885.

The spelling of 91792000 in words is "ninety-one million, seven hundred ninety-two thousand".