88138272 has 48 divisors (see below), whose sum is σ = 233513280. Its totient is φ = 29106432.

The previous prime is 88138249. The next prime is 88138291. The reversal of 88138272 is 27283188.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×88138272² = 15536709982291968, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 88138272.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6253 + ... + 14675.

It is an arithmetic number, because the mean of its divisors is an integer number (4864860).

Almost surely, 2^88138272 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 88138272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116756640).

88138272 is an abundant number, since it is smaller than the sum of its proper divisors (145375008).

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

88138272 is a wasteful number, since it uses less digits than its factorization.

88138272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8545 (or 8537 counting only the distinct ones).

The product of its digits is 43008, while the sum is 39.

The square root of 88138272 is about 9388.1985492426. The cubic root of 88138272 is about 445.0288614871.

It can be divided in two parts, 88138 and 272, that added together give a triangular number (88410 = T₄₂₀).

The spelling of 88138272 in words is "eighty-eight million, one hundred thirty-eight thousand, two hundred seventy-two".