72985936 has 10 divisors (see below), whose sum is σ = 141410282. Its totient is φ = 36492960.

The previous prime is 72985907. The next prime is 72985937. The reversal of 72985936 is 63958927.

It can be written as a sum of positive squares in only one way, i.e., 42250000 + 30735936 = 6500^2 + 5544^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 72985936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72985937) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2280795 + ... + 2280826.

Almost surely, 2^72985936 is an apocalyptic number.

It is an amenable number.

72985936 is a deficient number, since it is larger than the sum of its proper divisors (68424346).

72985936 is a wasteful number, since it uses less digits than its factorization.

72985936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4561629 (or 4561623 counting only the distinct ones).

The product of its digits is 816480, while the sum is 49.

The square root of 72985936 is about 8543.1806723257. The cubic root of 72985936 is about 417.9070785415.

The spelling of 72985936 in words is "seventy-two million, nine hundred eighty-five thousand, nine hundred thirty-six".