74807712 has 360 divisors, whose sum is σ = 278087040. Its totient is φ = 19595520.

The previous prime is 74807639. The next prime is 74807713. The reversal of 74807712 is 21770847.

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 (74807713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2413137 + ... + 2413167.

It is an arithmetic number, because the mean of its divisors is an integer number (772464).

Almost surely, 2^74807712 is an apocalyptic number.

74807712 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 74807712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139043520).

74807712 is an abundant number, since it is smaller than the sum of its proper divisors (203279328).

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

74807712 is a wasteful number, since it uses less digits than its factorization.

74807712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 62 counting only the distinct ones).

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

The square root of 74807712 is about 8649.1451600722. The cubic root of 74807712 is about 421.3556198042.

The spelling of 74807712 in words is "seventy-four million, eight hundred seven thousand, seven hundred twelve".