74631312 has 120 divisors (see below), whose sum is σ = 243734400. Its totient is φ = 21309120.

The previous prime is 74631311. The next prime is 74631371. The reversal of 74631312 is 21313647.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (74631311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48637 + ... + 50147.

It is an arithmetic number, because the mean of its divisors is an integer number (2031120).

Almost surely, 2^74631312 is an apocalyptic number.

74631312 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 74631312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121867200).

74631312 is an abundant number, since it is smaller than the sum of its proper divisors (169103088).

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

74631312 is a wasteful number, since it uses less digits than its factorization.

74631312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1546 (or 1523 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 74631312 is about 8638.9416018399. The cubic root of 74631312 is about 421.0241672117.

Adding to 74631312 its reverse (21313647), we get a palindrome (95944959).

The spelling of 74631312 in words is "seventy-four million, six hundred thirty-one thousand, three hundred twelve".