72413313 has 32 divisors (see below), whose sum is σ = 117411840. Its totient is φ = 38776320.

The previous prime is 72413311. The next prime is 72413321. The reversal of 72413313 is 31331427.

It is not a de Polignac number, because 72413313 - 2¹ = 72413311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72413311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37768 + ... + 39638.

It is an arithmetic number, because the mean of its divisors is an integer number (3669120).

Almost surely, 2^72413313 is an apocalyptic number.

It is an amenable number.

72413313 is a deficient number, since it is larger than the sum of its proper divisors (44998527).

72413313 is a wasteful number, since it uses less digits than its factorization.

72413313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1997.

The product of its digits is 1512, while the sum is 24.

The square root of 72413313 is about 8509.6012244993. The cubic root of 72413313 is about 416.8112885348.

The spelling of 72413313 in words is "seventy-two million, four hundred thirteen thousand, three hundred thirteen".