74772672 has 112 divisors (see below), whose sum is σ = 220614240. Its totient is φ = 22192128.

The previous prime is 74772667. The next prime is 74772679. The reversal of 74772672 is 27627747.

It is not an unprimeable number, because it can be changed into a prime (74772679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71868 + ... + 72900.

It is an arithmetic number, because the mean of its divisors is an integer number (1969770).

Almost surely, 2^74772672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74772672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110307120).

74772672 is an abundant number, since it is smaller than the sum of its proper divisors (145841568).

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

74772672 is a wasteful number, since it uses less digits than its factorization.

74772672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 1080 counting only the distinct ones).

The product of its digits is 230496, while the sum is 42.

The square root of 74772672 is about 8647.1192891043. The cubic root of 74772672 is about 421.2898217453.

The spelling of 74772672 in words is "seventy-four million, seven hundred seventy-two thousand, six hundred seventy-two".