88345872 has 120 divisors (see below), whose sum is σ = 264625920. Its totient is φ = 27417600.

The previous prime is 88345871. The next prime is 88345879. The reversal of 88345872 is 27854388.

It is not an unprimeable number, because it can be changed into a prime (88345871) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 369529 + ... + 369767.

It is an arithmetic number, because the mean of its divisors is an integer number (2205216).

Almost surely, 2^88345872 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 88345872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132312960).

88345872 is an abundant number, since it is smaller than the sum of its proper divisors (176280048).

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

88345872 is a wasteful number, since it uses less digits than its factorization.

88345872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 412 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 88345872 is about 9399.2484805967. The cubic root of 88345872 is about 445.3779930192.

It can be divided in two parts, 8834 and 5872, that added together give a triangular number (14706 = T₁₇₁).

The spelling of 88345872 in words is "eighty-eight million, three hundred forty-five thousand, eight hundred seventy-two".