89280672 has 72 divisors (see below), whose sum is σ = 253822464. Its totient is φ = 27465984.

The previous prime is 89280623. The next prime is 89280721. The reversal of 89280672 is 27608298.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (89280623) and next prime (89280721).

It is a super-3 number, since 3×89280672³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13473 + ... + 18975.

It is an arithmetic number, because the mean of its divisors is an integer number (3525312).

Almost surely, 2^89280672 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 89280672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126911232).

89280672 is an abundant number, since it is smaller than the sum of its proper divisors (164541792).

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

89280672 is a wasteful number, since it uses less digits than its factorization.

89280672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5542 (or 5521 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 89280672 is about 9448.8450087828. The cubic root of 89280672 is about 446.9433537314.

The spelling of 89280672 in words is "eighty-nine million, two hundred eighty thousand, six hundred seventy-two".