74431872 has 96 divisors (see below), whose sum is σ = 222211080. Its totient is φ = 24800256.

The previous prime is 74431871. The next prime is 74431891. The reversal of 74431872 is 27813447.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74431871) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29908 + ... + 32300.

Almost surely, 2^74431872 is an apocalyptic number.

74431872 is a gapful number since it is divisible by the number (72) 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 74431872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111105540).

74431872 is an abundant number, since it is smaller than the sum of its proper divisors (147779208).

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

74431872 is an equidigital number, since it uses as much as digits as its factorization.

74431872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2422 (or 2398 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 74431872 is about 8627.3907990771. The cubic root of 74431872 is about 420.6487931818.

The spelling of 74431872 in words is "seventy-four million, four hundred thirty-one thousand, eight hundred seventy-two".