89404272 has 120 divisors (see below), whose sum is σ = 270138960. Its totient is φ = 27509760.

The previous prime is 89404261. The next prime is 89404277. The reversal of 89404272 is 27240498.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89404277) 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, 111778 + ... + 112574.

It is an arithmetic number, because the mean of its divisors is an integer number (2251158).

Almost surely, 2^89404272 is an apocalyptic number.

89404272 is a gapful number since it is divisible by the number (82) 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 89404272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135069480).

89404272 is an abundant number, since it is smaller than the sum of its proper divisors (180734688).

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

89404272 is a wasteful number, since it uses less digits than its factorization.

89404272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 89404272 is about 9455.3832286164. The cubic root of 89404272 is about 447.1495078164.

It can be divided in two parts, 89404 and 272, that added together give a triangular number (89676 = T₄₂₃).

The spelling of 89404272 in words is "eighty-nine million, four hundred four thousand, two hundred seventy-two".