72100733 has 2 divisors, whose sum is σ = 72100734. Its totient is φ = 72100732.

The previous prime is 72100727. The next prime is 72100739. The reversal of 72100733 is 33700127.

It is a balanced prime because it is at equal distance from previous prime (72100727) and next prime (72100739).

It can be written as a sum of positive squares in only one way, i.e., 71182969 + 917764 = 8437^2 + 958^2 .

It is a cyclic number.

It is not a de Polignac number, because 72100733 - 2¹⁸ = 71838589 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72100699 and 72100708.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72100739) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36050366 + 36050367.

It is an arithmetic number, because the mean of its divisors is an integer number (36050367).

Almost surely, 2^72100733 is an apocalyptic number.

It is an amenable number.

72100733 is a deficient number, since it is larger than the sum of its proper divisors (1).

72100733 is an equidigital number, since it uses as much as digits as its factorization.

72100733 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 882, while the sum is 23.

The square root of 72100733 is about 8491.2150485075. The cubic root of 72100733 is about 416.2106863164.

The spelling of 72100733 in words is "seventy-two million, one hundred thousand, seven hundred thirty-three".