88772 has 6 divisors (see below), whose sum is σ = 155358. Its totient is φ = 44384.

The previous prime is 88771. The next prime is 88789. The reversal of 88772 is 27788.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 87616 + 1156 = 296^2 + 34^2 .

It is a plaindrome in base 14.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (88771) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11093 + ... + 11100.

It is an arithmetic number, because the mean of its divisors is an integer number (25893).

2⁸⁸⁷⁷² is an apocalyptic number.

It is an amenable number.

88772 is a deficient number, since it is larger than the sum of its proper divisors (66586).

88772 is a wasteful number, since it uses less digits than its factorization.

88772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22197 (or 22195 counting only the distinct ones).

The product of its digits is 6272, while the sum is 32.

The square root of 88772 is about 297.9463038871. The cubic root of 88772 is about 44.6092924393.

Adding to 88772 its sum of digits (32), we get a square (88804 = 298²).

It can be divided in two parts, 887 and 72, that added together give a palindrome (959).

The spelling of 88772 in words is "eighty-eight thousand, seven hundred seventy-two".