91872000 has 432 divisors, whose sum is σ = 373070880. Its totient is φ = 21504000.

The previous prime is 91871977. The next prime is 91872007. The reversal of 91872000 is 27819.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91872007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3167986 + ... + 3168014.

It is an arithmetic number, because the mean of its divisors is an integer number (863590).

Almost surely, 2^91872000 is an apocalyptic number.

91872000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186535440).

91872000 is an abundant number, since it is smaller than the sum of its proper divisors (281198880).

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

91872000 is a wasteful number, since it uses less digits than its factorization.

91872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 91872000 is about 9584.9882629036. The cubic root of 91872000 is about 451.2262848728.

Adding to 91872000 its reverse (27819), we get a palindrome (91899819).

The spelling of 91872000 in words is "ninety-one million, eight hundred seventy-two thousand".