72613633 has 2 divisors, whose sum is σ = 72613634. Its totient is φ = 72613632.

The previous prime is 72613631. The next prime is 72613643. The reversal of 72613633 is 33631627.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 64128064 + 8485569 = 8008^2 + 2913^2 .

It is a cyclic number.

It is not a de Polignac number, because 72613633 - 2¹ = 72613631 is a prime.

Together with 72613631, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 72613595 and 72613604.

It is not a weakly prime, because it can be changed into another prime (72613631) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36306816 + 36306817.

It is an arithmetic number, because the mean of its divisors is an integer number (36306817).

Almost surely, 2^72613633 is an apocalyptic number.

It is an amenable number.

72613633 is a deficient number, since it is larger than the sum of its proper divisors (1).

72613633 is an equidigital number, since it uses as much as digits as its factorization.

72613633 is an evil number, because the sum of its binary digits is even.

The product of its digits is 13608, while the sum is 31.

The square root of 72613633 is about 8521.3633298904. The cubic root of 72613633 is about 417.1952822116.

The spelling of 72613633 in words is "seventy-two million, six hundred thirteen thousand, six hundred thirty-three".