72540313 has 4 divisors (see below), whose sum is σ = 74500900. Its totient is φ = 70579728.

The previous prime is 72540301. The next prime is 72540337. The reversal of 72540313 is 31304527.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 65076489 + 7463824 = 8067^2 + 2732^2 .

It is a cyclic number.

It is not a de Polignac number, because 72540313 - 2¹³ = 72532121 is a prime.

It is a super-3 number, since 3×72540313³ (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72540353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 980238 + ... + 980311.

It is an arithmetic number, because the mean of its divisors is an integer number (18625225).

Almost surely, 2^72540313 is an apocalyptic number.

It is an amenable number.

72540313 is a deficient number, since it is larger than the sum of its proper divisors (1960587).

72540313 is a wasteful number, since it uses less digits than its factorization.

72540313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1960586.

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 72540313 is about 8517.0601148518. The cubic root of 72540313 is about 417.0548170398.

The spelling of 72540313 in words is "seventy-two million, five hundred forty thousand, three hundred thirteen".