91872144 has 400 divisors, whose sum is σ = 352894080. Its totient is φ = 22394880.

The previous prime is 91872113. The next prime is 91872173. The reversal of 91872144 is 44127819.

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.

It is a junction number, because it is equal to n+sod(n) for n = 91872099 and 91872108.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2240764 + ... + 2240804.

Almost surely, 2^91872144 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 91872144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176447040).

91872144 is an abundant number, since it is smaller than the sum of its proper divisors (261021936).

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

91872144 is a wasteful number, since it uses less digits than its factorization.

91872144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 85 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 91872144 is about 9584.9957746470. The cubic root of 91872144 is about 451.2265206231.

The spelling of 91872144 in words is "ninety-one million, eight hundred seventy-two thousand, one hundred forty-four".