73138312 has 32 divisors (see below), whose sum is σ = 148037400. Its totient is φ = 33675264.

The previous prime is 73138309. The next prime is 73138333. The reversal of 73138312 is 21383137.

It can be written as a sum of positive squares in 4 ways, for example, as 31741956 + 41396356 = 5634^2 + 6434^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78264 + ... + 79192.

Almost surely, 2^73138312 is an apocalyptic number.

It is an amenable number.

73138312 is an abundant number, since it is smaller than the sum of its proper divisors (74899088).

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

73138312 is a wasteful number, since it uses less digits than its factorization.

73138312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1705 (or 1701 counting only the distinct ones).

The product of its digits is 3024, while the sum is 28.

The square root of 73138312 is about 8552.0940125796. The cubic root of 73138312 is about 418.1977041453.

It can be divided in two parts, 7313 and 8312, that added together give a 6-th power (15625 = 5⁶).

The spelling of 73138312 in words is "seventy-three million, one hundred thirty-eight thousand, three hundred twelve".