73681137 has 8 divisors (see below), whose sum is σ = 109157280. Its totient is φ = 49120740.

The previous prime is 73681123. The next prime is 73681151. The reversal of 73681137 is 73118637.

It is an interprime number because it is at equal distance from previous prime (73681123) and next prime (73681151).

It is not a de Polignac number, because 73681137 - 2⁶ = 73681073 is a prime.

It is a super-2 number, since 2×73681137² = 10857819899225538, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (73681177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1364439 + ... + 1364492.

It is an arithmetic number, because the mean of its divisors is an integer number (13644660).

Almost surely, 2^73681137 is an apocalyptic number.

It is an amenable number.

73681137 is a deficient number, since it is larger than the sum of its proper divisors (35476143).

73681137 is a wasteful number, since it uses less digits than its factorization.

73681137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2728940 (or 2728934 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 73681137 is about 8583.7717234325. The cubic root of 73681137 is about 419.2297617926.

Subtracting from 73681137 its reverse (73118637), we obtain a square (562500 = 750²).

The spelling of 73681137 in words is "seventy-three million, six hundred eighty-one thousand, one hundred thirty-seven".