72130964 has 12 divisors (see below), whose sum is σ = 126424788. Its totient is φ = 36009600.

The previous prime is 72130963. The next prime is 72130979. The reversal of 72130964 is 46903127.

It can be written as a sum of positive squares in 2 ways, for example, as 56370064 + 15760900 = 7508^2 + 3970^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 72130964.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72130963) 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, 10997 + ... + 16284.

It is an arithmetic number, because the mean of its divisors is an integer number (10535399).

Almost surely, 2^72130964 is an apocalyptic number.

It is an amenable number.

72130964 is a deficient number, since it is larger than the sum of its proper divisors (54293824).

72130964 is a wasteful number, since it uses less digits than its factorization.

72130964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27946 (or 27944 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 72130964 is about 8492.9949958775. The cubic root of 72130964 is about 416.2688489572.

The spelling of 72130964 in words is "seventy-two million, one hundred thirty thousand, nine hundred sixty-four".