89624272 has 40 divisors (see below), whose sum is σ = 187360776. Its totient is φ = 41373696.

The previous prime is 89624263. The next prime is 89624279. The reversal of 89624272 is 27242698.

It can be written as a sum of positive squares in 4 ways, for example, as 44142736 + 45481536 = 6644^2 + 6744^2 .

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89624279) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11308 + ... + 17524.

Almost surely, 2^89624272 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 89624272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93680388).

89624272 is an abundant number, since it is smaller than the sum of its proper divisors (97736504).

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

89624272 is a wasteful number, since it uses less digits than its factorization.

89624272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6295 (or 6289 counting only the distinct ones).

The product of its digits is 96768, while the sum is 40.

The square root of 89624272 is about 9467.0096651477. The cubic root of 89624272 is about 447.5159791637.

The spelling of 89624272 in words is "eighty-nine million, six hundred twenty-four thousand, two hundred seventy-two".