74665920 has 224 divisors, whose sum is σ = 278562816. Its totient is φ = 16588800.

The previous prime is 74665919. The next prime is 74665951. The reversal of 74665920 is 2956647.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 275385 + ... + 275655.

It is an arithmetic number, because the mean of its divisors is an integer number (1243584).

Almost surely, 2^74665920 is an apocalyptic number.

74665920 is a gapful number since it is divisible by the number (70) 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 74665920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139281408).

74665920 is an abundant number, since it is smaller than the sum of its proper divisors (203896896).

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

74665920 is a wasteful number, since it uses less digits than its factorization.

74665920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 74665920 is about 8640.9443928311. The cubic root of 74665920 is about 421.0892362036.

It can be divided in two parts, 746 and 65920, that added together give a palindrome (66666).

The spelling of 74665920 in words is "seventy-four million, six hundred sixty-five thousand, nine hundred twenty".