72590053 has 2 divisors, whose sum is σ = 72590054. Its totient is φ = 72590052.

The previous prime is 72590033. The next prime is 72590069. The reversal of 72590053 is 35009527.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 55100929 + 17489124 = 7423^2 + 4182^2 .

It is a cyclic number.

It is not a de Polignac number, because 72590053 - 2²¹ = 70492901 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72589997 and 72590024.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72590033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36295026 + 36295027.

It is an arithmetic number, because the mean of its divisors is an integer number (36295027).

Almost surely, 2^72590053 is an apocalyptic number.

It is an amenable number.

72590053 is a deficient number, since it is larger than the sum of its proper divisors (1).

72590053 is an equidigital number, since it uses as much as digits as its factorization.

72590053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9450, while the sum is 31.

The square root of 72590053 is about 8519.9796361259. The cubic root of 72590053 is about 417.1501183795.

The spelling of 72590053 in words is "seventy-two million, five hundred ninety thousand, fifty-three".