88725 has 36 divisors (see below), whose sum is σ = 181536. Its totient is φ = 37440.

The previous prime is 88721. The next prime is 88729. The reversal of 88725 is 52788.

88725 is nontrivially palindromic in base 4.

It is an interprime number because it is at equal distance from previous prime (88721) and next prime (88729).

It is not a de Polignac number, because 88725 - 2² = 88721 is a prime.

Its product of digits (4480) is a multiple of the sum of its prime divisors (28).

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 88692 and 88701.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 88725.

It is not an unprimeable number, because it can be changed into a prime (88721) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6819 + ... + 6831.

2⁸⁸⁷²⁵ is an apocalyptic number.

It is an amenable number.

88725 is an abundant number, since it is smaller than the sum of its proper divisors (92811).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90768).

88725 is a wasteful number, since it uses less digits than its factorization.

88725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46 (or 28 counting only the distinct ones).

The product of its digits is 4480, while the sum is 30.

The square root of 88725 is about 297.8674201721. The cubic root of 88725 is about 44.6014183090.

Subtracting from 88725 its reverse (52788), we obtain a cube (35937 = 33³).

The spelling of 88725 in words is "eighty-eight thousand, seven hundred twenty-five".