89215672 has 128 divisors (see below), whose sum is σ = 218736000. Its totient is φ = 33868800.

The previous prime is 89215667. The next prime is 89215673. The reversal of 89215672 is 27651298.

It is a super-3 number, since 3×89215672³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89215673) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1462522 + ... + 1462582.

It is an arithmetic number, because the mean of its divisors is an integer number (1708875).

Almost surely, 2^89215672 is an apocalyptic number.

89215672 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89215672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109368000).

89215672 is an abundant number, since it is smaller than the sum of its proper divisors (129520328).

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

89215672 is a wasteful number, since it uses less digits than its factorization.

89215672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 124 counting only the distinct ones).

The product of its digits is 60480, while the sum is 40.

The square root of 89215672 is about 9445.4048086887. The cubic root of 89215672 is about 446.8348630194.

The spelling of 89215672 in words is "eighty-nine million, two hundred fifteen thousand, six hundred seventy-two".