72820753 has 2 divisors, whose sum is σ = 72820754. Its totient is φ = 72820752.

The previous prime is 72820747. The next prime is 72820757. The reversal of 72820753 is 35702827.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71351809 + 1468944 = 8447^2 + 1212^2 .

It is a cyclic number.

It is not a de Polignac number, because 72820753 - 2¹³ = 72812561 is a prime.

It is a super-3 number, since 3×72820753³ (a number of 25 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (72820757) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36410376 + 36410377.

It is an arithmetic number, because the mean of its divisors is an integer number (36410377).

Almost surely, 2^72820753 is an apocalyptic number.

It is an amenable number.

72820753 is a deficient number, since it is larger than the sum of its proper divisors (1).

72820753 is an equidigital number, since it uses as much as digits as its factorization.

72820753 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 23520, while the sum is 34.

The square root of 72820753 is about 8533.5076609797. The cubic root of 72820753 is about 417.5915689525.

The spelling of 72820753 in words is "seventy-two million, eight hundred twenty thousand, seven hundred fifty-three".