72724172093 has 2 divisors, whose sum is σ = 72724172094. Its totient is φ = 72724172092.

The previous prime is 72724172063. The next prime is 72724172107. The reversal of 72724172093 is 39027142727.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61636503289 + 11087668804 = 248267^2 + 105298^2 .

It is an emirp because it is prime and its reverse (39027142727) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72724172093 - 2³⁴ = 55544302909 is a prime.

It is a super-2 number, since 2×72724172093² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72724172063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36362086046 + 36362086047.

It is an arithmetic number, because the mean of its divisors is an integer number (36362086047).

Almost surely, 2^72724172093 is an apocalyptic number.

It is an amenable number.

72724172093 is a deficient number, since it is larger than the sum of its proper divisors (1).

72724172093 is an equidigital number, since it uses as much as digits as its factorization.

72724172093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 296352, while the sum is 44.

The spelling of 72724172093 in words is "seventy-two billion, seven hundred twenty-four million, one hundred seventy-two thousand, ninety-three".