74295144 has 160 divisors (see below), whose sum is σ = 259617600. Its totient is φ = 19284480.

The previous prime is 74295077. The next prime is 74295173. The reversal of 74295144 is 44159247.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 74295099 and 74295108.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 49152 + ... + 50640.

It is an arithmetic number, because the mean of its divisors is an integer number (1622610).

Almost surely, 2^74295144 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 74295144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129808800).

74295144 is an abundant number, since it is smaller than the sum of its proper divisors (185322456).

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

74295144 is a wasteful number, since it uses less digits than its factorization.

74295144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1525 (or 1512 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 74295144 is about 8619.4630923277. The cubic root of 74295144 is about 420.3910643362.

The spelling of 74295144 in words is "seventy-four million, two hundred ninety-five thousand, one hundred forty-four".