72004313 has 8 divisors (see below), whose sum is σ = 73632000. Its totient is φ = 70394688.

The previous prime is 72004307. The next prime is 72004321. The reversal of 72004313 is 31340027.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 72004313 - 2⁸ = 72004057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72004343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3713 + ... + 12561.

It is an arithmetic number, because the mean of its divisors is an integer number (9204000).

Almost surely, 2^72004313 is an apocalyptic number.

It is an amenable number.

72004313 is a deficient number, since it is larger than the sum of its proper divisors (1627687).

72004313 is a wasteful number, since it uses less digits than its factorization.

72004313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9031.

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 72004313 is about 8485.5355163949. The cubic root of 72004313 is about 416.0250712978.

The spelling of 72004313 in words is "seventy-two million, four thousand, three hundred thirteen".