89746272 has 384 divisors, whose sum is σ = 348364800. Its totient is φ = 21772800.

The previous prime is 89746259. The next prime is 89746297. The reversal of 89746272 is 27264798.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1263997 + ... + 1264067.

It is an arithmetic number, because the mean of its divisors is an integer number (907200).

Almost surely, 2^89746272 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 89746272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174182400).

89746272 is an abundant number, since it is smaller than the sum of its proper divisors (258618528).

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

89746272 is a wasteful number, since it uses less digits than its factorization.

89746272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 113 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 89746272 is about 9473.4509023903. The cubic root of 89746272 is about 447.7189457404.

The spelling of 89746272 in words is "eighty-nine million, seven hundred forty-six thousand, two hundred seventy-two".