74205264 has 80 divisors (see below), whose sum is σ = 220164480. Its totient is φ = 21096960.

The previous prime is 74205233. The next prime is 74205269. The reversal of 74205264 is 46250247.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74205269) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89974 + ... + 90794.

It is an arithmetic number, because the mean of its divisors is an integer number (2752056).

Almost surely, 2^74205264 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 74205264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110082240).

74205264 is an abundant number, since it is smaller than the sum of its proper divisors (145959216).

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

74205264 is a wasteful number, since it uses less digits than its factorization.

74205264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 74205264 is about 8614.2477326810. The cubic root of 74205264 is about 420.2214704973.

The spelling of 74205264 in words is "seventy-four million, two hundred five thousand, two hundred sixty-four".