72406313 has 4 divisors (see below), whose sum is σ = 82750080. Its totient is φ = 62062548.

The previous prime is 72406303. The next prime is 72406319. The reversal of 72406313 is 31360427.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 72406313 - 2⁶ = 72406249 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72406319) 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, 5171873 + ... + 5171886.

It is an arithmetic number, because the mean of its divisors is an integer number (20687520).

Almost surely, 2^72406313 is an apocalyptic number.

It is an amenable number.

72406313 is a deficient number, since it is larger than the sum of its proper divisors (10343767).

72406313 is a wasteful number, since it uses less digits than its factorization.

72406313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10343766.

The product of its (nonzero) digits is 3024, while the sum is 26.

The square root of 72406313 is about 8509.1899144396. The cubic root of 72406313 is about 416.7978574270.

The spelling of 72406313 in words is "seventy-two million, four hundred six thousand, three hundred thirteen".