74772180 has 192 divisors, whose sum is σ = 269660160. Its totient is φ = 16848000.

The previous prime is 74772109. The next prime is 74772197. The reversal of 74772180 is 8127747.

74772180 is a `hidden beast` number, since 7 + 477 + 2 + 180 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 495105 + ... + 495255.

It is an arithmetic number, because the mean of its divisors is an integer number (1404480).

Almost surely, 2^74772180 is an apocalyptic number.

74772180 is a gapful number since it is divisible by the number (70) 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 74772180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134830080).

74772180 is an abundant number, since it is smaller than the sum of its proper divisors (194887980).

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

74772180 is a wasteful number, since it uses less digits than its factorization.

74772180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 36.

The square root of 74772180 is about 8647.0908402769. The cubic root of 74772180 is about 421.2888977222.

It can be divided in two parts, 747 and 72180, that added together give a palindrome (72927).

The spelling of 74772180 in words is "seventy-four million, seven hundred seventy-two thousand, one hundred eighty".