74701920 has 96 divisors (see below), whose sum is σ = 247726080. Its totient is φ = 18869760.

The previous prime is 74701903. The next prime is 74701981. The reversal of 74701920 is 2910747.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 15 ways as a sum of consecutive naturals, for example, 5025 + ... + 13215.

It is an arithmetic number, because the mean of its divisors is an integer number (2580480).

Almost surely, 2^74701920 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 74701920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123863040).

74701920 is an abundant number, since it is smaller than the sum of its proper divisors (173024160).

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

74701920 is a wasteful number, since it uses less digits than its factorization.

74701920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8228 (or 8220 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 74701920 is about 8643.0272474406. The cubic root of 74701920 is about 421.1569010625.

The spelling of 74701920 in words is "seventy-four million, seven hundred one thousand, nine hundred twenty".