233600172872 has 64 divisors (see below), whose sum is σ = 490696315200. Its totient is φ = 103333120000.

The previous prime is 233600172847. The next prime is 233600172877. The reversal of 233600172872 is 278271006332.

233600172872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (233600172877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1366079 + ... + 1527537.

It is an arithmetic number, because the mean of its divisors is an integer number (7667129925).

Almost surely, 2^233600172872 is an apocalyptic number.

233600172872 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233600172872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245348157600).

233600172872 is an abundant number, since it is smaller than the sum of its proper divisors (257096142328).

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

233600172872 is a wasteful number, since it uses less digits than its factorization.

233600172872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161918 (or 161914 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 41.

The spelling of 233600172872 in words is "two hundred thirty-three billion, six hundred million, one hundred seventy-two thousand, eight hundred seventy-two".