73149760 has 28 divisors (see below), whose sum is σ = 174188628. Its totient is φ = 29259776.

The previous prime is 73149757. The next prime is 73149761. The reversal of 73149760 is 6794137.

It can be written as a sum of positive squares in 2 ways, for example, as 34012224 + 39137536 = 5832^2 + 6256^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73149761) 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, 113977 + ... + 114616.

Almost surely, 2^73149760 is an apocalyptic number.

It is an amenable number.

73149760 is an abundant number, since it is smaller than the sum of its proper divisors (101038868).

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

73149760 is a wasteful number, since it uses less digits than its factorization.

73149760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228610 (or 228600 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 37.

The square root of 73149760 is about 8552.7632961517. The cubic root of 73149760 is about 418.2195225212.

It can be divided in two parts, 73149 and 760, that multiplied together give a triangular number (55593240 = T₁₀₅₄₄).

The spelling of 73149760 in words is "seventy-three million, one hundred forty-nine thousand, seven hundred sixty".