72506593 has 4 divisors (see below), whose sum is σ = 73499908. Its totient is φ = 71513280.

The previous prime is 72506591. The next prime is 72506611. The reversal of 72506593 is 39560527.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 39560527 = 19 ⋅2082133.

It can be written as a sum of positive squares in 2 ways, for example, as 61826769 + 10679824 = 7863^2 + 3268^2 .

It is a cyclic number.

It is not a de Polignac number, because 72506593 - 2¹ = 72506591 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72506591) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 496548 + ... + 496693.

It is an arithmetic number, because the mean of its divisors is an integer number (18374977).

Almost surely, 2^72506593 is an apocalyptic number.

72506593 is a gapful number since it is divisible by the number (73) formed by its first and last digit.

It is an amenable number.

72506593 is a deficient number, since it is larger than the sum of its proper divisors (993315).

72506593 is an equidigital number, since it uses as much as digits as its factorization.

72506593 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993314.

The product of its (nonzero) digits is 56700, while the sum is 37.

The square root of 72506593 is about 8515.0803284526. The cubic root of 72506593 is about 416.9901850788.

The spelling of 72506593 in words is "seventy-two million, five hundred six thousand, five hundred ninety-three".