7172831232 has 576 divisors, whose sum is σ = 25757222400. Its totient is φ = 1950842880.

The previous prime is 7172831213. The next prime is 7172831287. The reversal of 7172831232 is 2321382717.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

Its product of digits (28224) is a multiple of the sum of its prime divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101025757 + ... + 101025827.

It is an arithmetic number, because the mean of its divisors is an integer number (44717400).

Almost surely, 2^7172831232 is an apocalyptic number.

7172831232 is a gapful number since it is divisible by the number (72) 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 7172831232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12878611200).

7172831232 is an abundant number, since it is smaller than the sum of its proper divisors (18584391168).

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

7172831232 is an equidigital number, since it uses as much as digits as its factorization.

7172831232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 112 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 7172831232 is about 84692.5689302196. The cubic root of 7172831232 is about 1928.5468969578.

The spelling of 7172831232 in words is "seven billion, one hundred seventy-two million, eight hundred thirty-one thousand, two hundred thirty-two".