72900733 has 2 divisors, whose sum is σ = 72900734. Its totient is φ = 72900732.

The previous prime is 72900727. The next prime is 72900769. The reversal of 72900733 is 33700927.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 59629284 + 13271449 = 7722^2 + 3643^2 .

It is a cyclic number.

It is not a de Polignac number, because 72900733 - 2¹⁷ = 72769661 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72900695 and 72900704.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72900703) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36450366 + 36450367.

It is an arithmetic number, because the mean of its divisors is an integer number (36450367).

Almost surely, 2^72900733 is an apocalyptic number.

It is an amenable number.

72900733 is a deficient number, since it is larger than the sum of its proper divisors (1).

72900733 is an equidigital number, since it uses as much as digits as its factorization.

72900733 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7938, while the sum is 31.

The square root of 72900733 is about 8538.1926073379. The cubic root of 72900733 is about 417.7443951376.

The spelling of 72900733 in words is "seventy-two million, nine hundred thousand, seven hundred thirty-three".