74754144 has 96 divisors (see below), whose sum is σ = 225146880. Its totient is φ = 24105600.

The previous prime is 74754143. The next prime is 74754161. The reversal of 74754144 is 44145747.

It is a happy number.

74754144 is a `hidden beast` number, since 74 + 7 + 541 + 44 = 666.

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 74754099 and 74754108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74754143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25389 + ... + 28179.

It is an arithmetic number, because the mean of its divisors is an integer number (2345280).

Almost surely, 2^74754144 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 74754144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112573440).

74754144 is an abundant number, since it is smaller than the sum of its proper divisors (150392736).

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

74754144 is a wasteful number, since it uses less digits than its factorization.

74754144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2841 (or 2827 counting only the distinct ones).

The product of its digits is 62720, while the sum is 36.

The square root of 74754144 is about 8646.0478832817. The cubic root of 74754144 is about 421.2550215863.

The spelling of 74754144 in words is "seventy-four million, seven hundred fifty-four thousand, one hundred forty-four".