88072884 has 54 divisors (see below), whose sum is σ = 230649510. Its totient is φ = 28335552.

The previous prime is 88072883. The next prime is 88072889. The reversal of 88072884 is 48827088.

It can be written as a sum of positive squares in 3 ways, for example, as 30008484 + 58064400 = 5478^2 + 7620^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88072883) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28822 + ... + 31730.

Almost surely, 2^88072884 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 88072884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115324755).

88072884 is an abundant number, since it is smaller than the sum of its proper divisors (142576626).

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

88072884 is a wasteful number, since it uses less digits than its factorization.

88072884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2977 (or 2943 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The square root of 88072884 is about 9384.7154458726. The cubic root of 88072884 is about 444.9187816257.

The spelling of 88072884 in words is "eighty-eight million, seventy-two thousand, eight hundred eighty-four".