74570144 has 48 divisors (see below), whose sum is σ = 164094336. Its totient is φ = 33062400.

The previous prime is 74570137. The next prime is 74570149. The reversal of 74570144 is 44107547.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 74570144.

It is not an unprimeable number, because it can be changed into a prime (74570149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11849 + ... + 17015.

It is an arithmetic number, because the mean of its divisors is an integer number (3418632).

Almost surely, 2^74570144 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 74570144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82047168).

74570144 is an abundant number, since it is smaller than the sum of its proper divisors (89524192).

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

74570144 is a wasteful number, since it uses less digits than its factorization.

74570144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5229 (or 5221 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 32.

The square root of 74570144 is about 8635.4006276490. The cubic root of 74570144 is about 420.9091116380.

The spelling of 74570144 in words is "seventy-four million, five hundred seventy thousand, one hundred forty-four".