88772000 has 48 divisors (see below), whose sum is σ = 218122632. Its totient is φ = 35507200.

The previous prime is 88771999. The next prime is 88772017. The reversal of 88772000 is 27788.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 50183056 + 38588944 = 7084^2 + 6212^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a nialpdrome in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7097 + ... + 15096.

Almost surely, 2^88772000 is an apocalyptic number.

88772000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

88772000 is an abundant number, since it is smaller than the sum of its proper divisors (129350632).

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

88772000 is a wasteful number, since it uses less digits than its factorization.

88772000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22218 (or 22200 counting only the distinct ones).

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

The square root of 88772000 is about 9421.8894071200. The cubic root of 88772000 is about 446.0929243930.

Adding to 88772000 its reverse (27788), we get a palindrome (88799788).

The spelling of 88772000 in words is "eighty-eight million, seven hundred seventy-two thousand".