88087272 has 128 divisors (see below), whose sum is σ = 276514560. Its totient is φ = 22763520.

The previous prime is 88087253. The next prime is 88087289. The reversal of 88087272 is 27278088.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115372 + ... + 116132.

It is an arithmetic number, because the mean of its divisors is an integer number (2160270).

Almost surely, 2^88087272 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 88087272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138257280).

88087272 is an abundant number, since it is smaller than the sum of its proper divisors (188427288).

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

88087272 is a wasteful number, since it uses less digits than its factorization.

88087272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 42.

The square root of 88087272 is about 9385.4819801649. The cubic root of 88087272 is about 444.9430083138.

The spelling of 88087272 in words is "eighty-eight million, eighty-seven thousand, two hundred seventy-two".