74736144 has 60 divisors (see below), whose sum is σ = 239040256. Its totient is φ = 21352896.

The previous prime is 74736143. The next prime is 74736149. The reversal of 74736144 is 44163747.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 74736099 and 74736108.

It is not an unprimeable number, because it can be changed into a prime (74736143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36064 + ... + 38079.

Almost surely, 2^74736144 is an apocalyptic number.

It is an amenable number.

74736144 is an abundant number, since it is smaller than the sum of its proper divisors (164304112).

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

74736144 is a wasteful number, since it uses less digits than its factorization.

74736144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74164 (or 74155 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 74736144 is about 8645.0068825884. The cubic root of 74736144 is about 421.2212076345.

The spelling of 74736144 in words is "seventy-four million, seven hundred thirty-six thousand, one hundred forty-four".