180079872 has 288 divisors, whose sum is σ = 604369920. Its totient is φ = 46448640.

The previous prime is 180079847. The next prime is 180079897. The reversal of 180079872 is 278970081.

It is an interprime number because it is at equal distance from previous prime (180079847) and next prime (180079897).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4187883 + ... + 4187925.

Almost surely, 2^180079872 is an apocalyptic number.

180079872 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 180079872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302184960).

180079872 is an abundant number, since it is smaller than the sum of its proper divisors (424290048).

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

180079872 is a wasteful number, since it uses less digits than its factorization.

180079872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 42.

The square root of 180079872 is about 13419.3841885535. The cubic root of 180079872 is about 564.7051187898.

The spelling of 180079872 in words is "one hundred eighty million, seventy-nine thousand, eight hundred seventy-two".