89719872 has 112 divisors (see below), whose sum is σ = 270369792. Its totient is φ = 25991680.

The previous prime is 89719871. The next prime is 89719891. The reversal of 89719872 is 27891798.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89719871) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47653 + ... + 49499.

It is an arithmetic number, because the mean of its divisors is an integer number (2414016).

Almost surely, 2^89719872 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 89719872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135184896).

89719872 is an abundant number, since it is smaller than the sum of its proper divisors (180649920).

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

89719872 is a wasteful number, since it uses less digits than its factorization.

89719872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1896 (or 1886 counting only the distinct ones).

The product of its digits is 508032, while the sum is 51.

The square root of 89719872 is about 9472.0574322583. The cubic root of 89719872 is about 447.6750407065.

The spelling of 89719872 in words is "eighty-nine million, seven hundred nineteen thousand, eight hundred seventy-two".