72401307 has 8 divisors (see below), whose sum is σ = 105311040. Its totient is φ = 43879560.

The previous prime is 72401299. The next prime is 72401321. The reversal of 72401307 is 70310427.

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

It is not a de Polignac number, because 72401307 - 2³ = 72401299 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72401377) 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 7 ways as a sum of consecutive naturals, for example, 1096957 + ... + 1097022.

It is an arithmetic number, because the mean of its divisors is an integer number (13163880).

Almost surely, 2^72401307 is an apocalyptic number.

72401307 is a deficient number, since it is larger than the sum of its proper divisors (32909733).

72401307 is a wasteful number, since it uses less digits than its factorization.

72401307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2193993.

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 72401307 is about 8508.8957567948. The cubic root of 72401307 is about 416.7882517353.

The spelling of 72401307 in words is "seventy-two million, four hundred one thousand, three hundred seven".