4172972832 has 144 divisors (see below), whose sum is σ = 13851032832. Its totient is φ = 1166883840.

The previous prime is 4172972807. The next prime is 4172972849. The reversal of 4172972832 is 2382792714.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×4172972832² = 34827404513220200448, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72732 + ... + 116772.

It is an arithmetic number, because the mean of its divisors is an integer number (96187728).

Almost surely, 2^4172972832 is an apocalyptic number.

4172972832 is a gapful number since it is divisible by the number (42) 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 4172972832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6925516416).

4172972832 is an abundant number, since it is smaller than the sum of its proper divisors (9678060000).

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

4172972832 is a wasteful number, since it uses less digits than its factorization.

4172972832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44111 (or 44100 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 4172972832 is about 64598.5513150256. The cubic root of 4172972832 is about 1609.9603698950.

The spelling of 4172972832 in words is "four billion, one hundred seventy-two million, nine hundred seventy-two thousand, eight hundred thirty-two".