74200144 has 20 divisors (see below), whose sum is σ = 144159796. Its totient is φ = 36997632.

The previous prime is 74200141. The next prime is 74200151. The reversal of 74200144 is 44100247.

74200144 = T₄₃₅ + T₄₃₆ + ... + T₈₀₇.

It can be written as a sum of positive squares in 2 ways, for example, as 23619600 + 50580544 = 4860^2 + 7112^2 .

It is a super-2 number, since 2×74200144² = 11011322739241472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74200141) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 249 + ... + 12184.

Almost surely, 2^74200144 is an apocalyptic number.

It is an amenable number.

74200144 is a deficient number, since it is larger than the sum of its proper divisors (69959652).

74200144 is a wasteful number, since it uses less digits than its factorization.

74200144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12814 (or 12808 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 22.

The square root of 74200144 is about 8613.9505454814. The cubic root of 74200144 is about 420.2118054893.

The spelling of 74200144 in words is "seventy-four million, two hundred thousand, one hundred forty-four".