99972180 has 144 divisors (see below), whose sum is σ = 378129024. Its totient is φ = 20770560.

The previous prime is 99972163. The next prime is 99972221. The reversal of 99972180 is 8127999.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 10254 + ... + 17466.

It is an arithmetic number, because the mean of its divisors is an integer number (2625896).

Almost surely, 2^99972180 is an apocalyptic number.

99972180 is a gapful number since it is divisible by the number (90) 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 99972180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189064512).

99972180 is an abundant number, since it is smaller than the sum of its proper divisors (278156844).

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

99972180 is a wasteful number, since it uses less digits than its factorization.

99972180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7246 (or 7241 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The square root of 99972180 is about 9998.6089032425. The cubic root of 99972180 is about 464.1158363687.

It can be divided in two parts, 99 and 972180, that added together give a palindrome (972279).

The spelling of 99972180 in words is "ninety-nine million, nine hundred seventy-two thousand, one hundred eighty".