72738433 has 2 divisors, whose sum is σ = 72738434. Its totient is φ = 72738432.

The previous prime is 72738389. The next prime is 72738451. The reversal of 72738433 is 33483727.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69755904 + 2982529 = 8352^2 + 1727^2 .

It is a cyclic number.

It is not a de Polignac number, because 72738433 - 2⁹ = 72737921 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72738392 and 72738401.

It is not a weakly prime, because it can be changed into another prime (72738833) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36369216 + 36369217.

It is an arithmetic number, because the mean of its divisors is an integer number (36369217).

Almost surely, 2^72738433 is an apocalyptic number.

It is an amenable number.

72738433 is a deficient number, since it is larger than the sum of its proper divisors (1).

72738433 is an equidigital number, since it uses as much as digits as its factorization.

72738433 is an evil number, because the sum of its binary digits is even.

The product of its digits is 84672, while the sum is 37.

The square root of 72738433 is about 8528.6829581126. The cubic root of 72738433 is about 417.4341545793.

The spelling of 72738433 in words is "seventy-two million, seven hundred thirty-eight thousand, four hundred thirty-three".