74010144 has 96 divisors (see below), whose sum is σ = 216082944. Its totient is φ = 22026240.

The previous prime is 74010119. The next prime is 74010161. The reversal of 74010144 is 44101047.

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

It is a self number, because there is not a number n which added to its sum of digits gives 74010144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37732 + ... + 39644.

It is an arithmetic number, because the mean of its divisors is an integer number (2250864).

Almost surely, 2^74010144 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 74010144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108041472).

74010144 is an abundant number, since it is smaller than the sum of its proper divisors (142072800).

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

74010144 is a wasteful number, since it uses less digits than its factorization.

74010144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1970 (or 1962 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 74010144 is about 8602.9148548617. The cubic root of 74010144 is about 419.8528282543.

The spelling of 74010144 in words is "seventy-four million, ten thousand, one hundred forty-four".