179982972 has 180 divisors, whose sum is σ = 539403480. Its totient is φ = 52161408.

The previous prime is 179982949. The next prime is 179982977. The reversal of 179982972 is 279289971.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (179982977) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1040278 + ... + 1040450.

It is an arithmetic number, because the mean of its divisors is an integer number (2996686).

Almost surely, 2^179982972 is an apocalyptic number.

179982972 is a gapful number since it is divisible by the number (12) 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 179982972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269701740).

179982972 is an abundant number, since it is smaller than the sum of its proper divisors (359420508).

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

179982972 is a wasteful number, since it uses less digits than its factorization.

179982972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 210 counting only the distinct ones).

The product of its digits is 1143072, while the sum is 54.

The square root of 179982972 is about 13415.7732538978. The cubic root of 179982972 is about 564.6038123655.

The spelling of 179982972 in words is "one hundred seventy-nine million, nine hundred eighty-two thousand, nine hundred seventy-two".