72736940 has 24 divisors (see below), whose sum is σ = 160787760. Its totient is φ = 27563328.

The previous prime is 72736907. The next prime is 72737011. The reversal of 72736940 is 4963727.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 72736894 and 72736903.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95327 + ... + 96086.

It is an arithmetic number, because the mean of its divisors is an integer number (6699490).

Almost surely, 2^72736940 is an apocalyptic number.

It is an amenable number.

72736940 is an abundant number, since it is smaller than the sum of its proper divisors (88050820).

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

72736940 is a wasteful number, since it uses less digits than its factorization.

72736940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191441 (or 191439 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 38.

The square root of 72736940 is about 8528.5954294948. The cubic root of 72736940 is about 417.4312985309.

The spelling of 72736940 in words is "seventy-two million, seven hundred thirty-six thousand, nine hundred forty".