89449272 has 192 divisors, whose sum is σ = 283046400. Its totient is φ = 26231040.

The previous prime is 89449271. The next prime is 89449273. The reversal of 89449272 is 27294498.

89449272 is a `hidden beast` number, since 8 + 94 + 492 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (89449271) and next prime (89449273).

It is a super-2 number, since 2×89449272² = 16002344522659968, which contains 22 as substring.

Its product of digits (290304) is a multiple of the sum of its prime factors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89449271) 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, 1005004 + ... + 1005092.

It is an arithmetic number, because the mean of its divisors is an integer number (1474200).

Almost surely, 2^89449272 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 89449272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141523200).

89449272 is an abundant number, since it is smaller than the sum of its proper divisors (193597128).

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

89449272 is a wasteful number, since it uses less digits than its factorization.

89449272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 152 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 89449272 is about 9457.7625260946. The cubic root of 89449272 is about 447.2245167333.

The spelling of 89449272 in words is "eighty-nine million, four hundred forty-nine thousand, two hundred seventy-two".