88072 has 16 divisors (see below), whose sum is σ = 168300. Its totient is φ = 43200.

The previous prime is 88069. The next prime is 88079. The reversal of 88072 is 27088.

It can be written as a sum of positive squares in 2 ways, for example, as 75076 + 12996 = 274^2 + 114^2 .

It is not an unprimeable number, because it can be changed into a prime (88079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 754 + ... + 862.

2⁸⁸⁰⁷² is an apocalyptic number.

It is an amenable number.

88072 is a deficient number, since it is larger than the sum of its proper divisors (80228).

88072 is a wasteful number, since it uses less digits than its factorization.

88072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 88072 is about 296.7692706464. The cubic root of 88072 is about 44.4917293050.

The spelling of 88072 in words is "eighty-eight thousand, seventy-two".