89347272 has 128 divisors (see below), whose sum is σ = 280627200. Its totient is φ = 23113728.

The previous prime is 89347261. The next prime is 89347283. The reversal of 89347272 is 27274398.

It is an interprime number because it is at equal distance from previous prime (89347261) and next prime (89347283).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72808 + ... + 74024.

It is an arithmetic number, because the mean of its divisors is an integer number (2192400).

Almost surely, 2^89347272 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 89347272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140313600).

89347272 is an abundant number, since it is smaller than the sum of its proper divisors (191279928).

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

89347272 is a wasteful number, since it uses less digits than its factorization.

89347272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275 (or 1271 counting only the distinct ones).

The product of its digits is 169344, while the sum is 42.

The square root of 89347272 is about 9452.3685920514. The cubic root of 89347272 is about 447.0544603805.

It can be divided in two parts, 89 and 347272, that added together give a triangular number (347361 = T₈₃₃).

The spelling of 89347272 in words is "eighty-nine million, three hundred forty-seven thousand, two hundred seventy-two".