73137393 has 12 divisors (see below), whose sum is σ = 120734848. Its totient is φ = 41792760.

The previous prime is 73137377. The next prime is 73137409. The reversal of 73137393 is 39373137.

It is an interprime number because it is at equal distance from previous prime (73137377) and next prime (73137409).

It is not a de Polignac number, because 73137393 - 2⁴ = 73137377 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (73137373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 580393 + ... + 580518.

Almost surely, 2^73137393 is an apocalyptic number.

It is an amenable number.

73137393 is a deficient number, since it is larger than the sum of its proper divisors (47597455).

73137393 is a wasteful number, since it uses less digits than its factorization.

73137393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160924 (or 1160921 counting only the distinct ones).

The product of its digits is 35721, while the sum is 36.

The square root of 73137393 is about 8552.0402828799. The cubic root of 73137393 is about 418.1959525540.

It can be divided in two parts, 7313 and 7393, that added together give a triangular number (14706 = T₁₇₁).

The spelling of 73137393 in words is "seventy-three million, one hundred thirty-seven thousand, three hundred ninety-three".