89772000 has 96 divisors (see below), whose sum is σ = 294132384. Its totient is φ = 23936000.

The previous prime is 89771993. The next prime is 89772029. The reversal of 89772000 is 27798.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8260 + ... + 15740.

It is an arithmetic number, because the mean of its divisors is an integer number (3063879).

Almost surely, 2^89772000 is an apocalyptic number.

89772000 is a gapful number since it is divisible by the number (80) 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 89772000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147066192).

89772000 is an abundant number, since it is smaller than the sum of its proper divisors (204360384).

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

89772000 is a wasteful number, since it uses less digits than its factorization.

89772000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7509 (or 7491 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 89772000 is about 9474.8087051929. The cubic root of 89772000 is about 447.7617249082.

Adding to 89772000 its reverse (27798), we get a palindrome (89799798).

The spelling of 89772000 in words is "eighty-nine million, seven hundred seventy-two thousand".