74917920 has 192 divisors, whose sum is σ = 294368256. Its totient is φ = 15559680.

The previous prime is 74917919. The next prime is 74917937. The reversal of 74917920 is 2971947.

It is a super-2 number, since 2×74917920² = 11225389474252800, which contains 22 as substring.

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, 35947 + ... + 37973.

It is an arithmetic number, because the mean of its divisors is an integer number (1533168).

Almost surely, 2^74917920 is an apocalyptic number.

74917920 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 74917920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147184128).

74917920 is an abundant number, since it is smaller than the sum of its proper divisors (219450336).

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

74917920 is a wasteful number, since it uses less digits than its factorization.

74917920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2063 (or 2055 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 39.

The square root of 74917920 is about 8655.5138495643. The cubic root of 74917920 is about 421.5624343770.

The spelling of 74917920 in words is "seventy-four million, nine hundred seventeen thousand, nine hundred twenty".