72100633 has 6 divisors (see below), whose sum is σ = 79251242. Its totient is φ = 65545920.

The previous prime is 72100631. The next prime is 72100681. The reversal of 72100633 is 33600127.

It can be written as a sum of positive squares in only one way, i.e., 57108249 + 14992384 = 7557^2 + 3872^2 .

It is not a de Polignac number, because 72100633 - 2¹ = 72100631 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72100631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 297816 + ... + 298057.

Almost surely, 2^72100633 is an apocalyptic number.

It is an amenable number.

72100633 is a deficient number, since it is larger than the sum of its proper divisors (7150609).

72100633 is a wasteful number, since it uses less digits than its factorization.

72100633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595895 (or 595884 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 22.

The square root of 72100633 is about 8491.2091600667. The cubic root of 72100633 is about 416.2104938954.

The spelling of 72100633 in words is "seventy-two million, one hundred thousand, six hundred thirty-three".