72584093 has 2 divisors, whose sum is σ = 72584094. Its totient is φ = 72584092.

The previous prime is 72584023. The next prime is 72584111. The reversal of 72584093 is 39048527.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70190884 + 2393209 = 8378^2 + 1547^2 .

It is a cyclic number.

It is not a de Polignac number, because 72584093 - 2²⁰ = 71535517 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72584023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36292046 + 36292047.

It is an arithmetic number, because the mean of its divisors is an integer number (36292047).

Almost surely, 2^72584093 is an apocalyptic number.

It is an amenable number.

72584093 is a deficient number, since it is larger than the sum of its proper divisors (1).

72584093 is an equidigital number, since it uses as much as digits as its factorization.

72584093 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 60480, while the sum is 38.

The square root of 72584093 is about 8519.6298628520. The cubic root of 72584093 is about 417.1387013756.

The spelling of 72584093 in words is "seventy-two million, five hundred eighty-four thousand, ninety-three".