72032913 has 6 divisors (see below), whose sum is σ = 104047554. Its totient is φ = 48021936.

The previous prime is 72032903. The next prime is 72032929. The reversal of 72032913 is 31923027.

It can be written as a sum of positive squares in only one way, i.e., 57653649 + 14379264 = 7593^2 + 3792^2 .

It is not a de Polignac number, because 72032913 - 2¹⁶ = 71967377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72032903) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4001820 + ... + 4001837.

It is an arithmetic number, because the mean of its divisors is an integer number (17341259).

Almost surely, 2^72032913 is an apocalyptic number.

It is an amenable number.

72032913 is a deficient number, since it is larger than the sum of its proper divisors (32014641).

72032913 is a wasteful number, since it uses less digits than its factorization.

72032913 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8003663 (or 8003660 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 72032913 is about 8487.2205697743. The cubic root of 72032913 is about 416.0801455082.

It can be divided in two parts, 720 and 32913, that added together give a palindrome (33633).

The spelling of 72032913 in words is "seventy-two million, thirty-two thousand, nine hundred thirteen".