74205936 has 160 divisors (see below), whose sum is σ = 248555520. Its totient is φ = 20756736.

The previous prime is 74205919. The next prime is 74205953. The reversal of 74205936 is 63950247.

It is an interprime number because it is at equal distance from previous prime (74205919) and next prime (74205953).

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

It is a self number, because there is not a number n which added to its sum of digits gives 74205936.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160041 + ... + 160503.

It is an arithmetic number, because the mean of its divisors is an integer number (1553472).

Almost surely, 2^74205936 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 74205936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124277760).

74205936 is an abundant number, since it is smaller than the sum of its proper divisors (174349584).

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

74205936 is a wasteful number, since it uses less digits than its factorization.

74205936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 74205936 is about 8614.2867377398. The cubic root of 74205936 is about 420.2227389966. Note that the first 3 decimals are identical.

The spelling of 74205936 in words is "seventy-four million, two hundred five thousand, nine hundred thirty-six".