88276272 has 160 divisors (see below), whose sum is σ = 273077760. Its totient is φ = 24053760.

The previous prime is 88276267. The next prime is 88276273. The reversal of 88276272 is 27267288.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (88276273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1209228 + ... + 1209300.

It is an arithmetic number, because the mean of its divisors is an integer number (1706736).

Almost surely, 2^88276272 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 88276272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136538880).

88276272 is an abundant number, since it is smaller than the sum of its proper divisors (184801488).

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

88276272 is a wasteful number, since it uses less digits than its factorization.

88276272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 205 counting only the distinct ones).

The product of its digits is 150528, while the sum is 42.

The square root of 88276272 is about 9395.5453274411. The cubic root of 88276272 is about 445.2610041456.

The spelling of 88276272 in words is "eighty-eight million, two hundred seventy-six thousand, two hundred seventy-two".