74807072 has 36 divisors (see below), whose sum is σ = 156468690. Its totient is φ = 35198976.

The previous prime is 74807053. The next prime is 74807077. The reversal of 74807072 is 27070847.

It can be written as a sum of positive squares in 3 ways, for example, as 61528336 + 13278736 = 7844^2 + 3644^2 .

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (74807077) 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 5 ways as a sum of consecutive naturals, for example, 5204 + ... + 13292.

Almost surely, 2^74807072 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 74807072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78234345).

74807072 is an abundant number, since it is smaller than the sum of its proper divisors (81661618).

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

74807072 is a wasteful number, since it uses less digits than its factorization.

74807072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8133 (or 8108 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 35.

The square root of 74807072 is about 8649.1081621171. The cubic root of 74807072 is about 421.3544181974.

The spelling of 74807072 in words is "seventy-four million, eight hundred seven thousand, seventy-two".