72405307 has 8 divisors (see below), whose sum is σ = 78260336. Its totient is φ = 66591072.

The previous prime is 72405287. The next prime is 72405313. The reversal of 72405307 is 70350427.

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

It is a cyclic number.

It is not a de Polignac number, because 72405307 - 2²³ = 64016699 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72405107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6453 + ... + 13654.

It is an arithmetic number, because the mean of its divisors is an integer number (9782542).

Almost surely, 2^72405307 is an apocalyptic number.

72405307 is a deficient number, since it is larger than the sum of its proper divisors (5855029).

72405307 is a wasteful number, since it uses less digits than its factorization.

72405307 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20397.

The product of its (nonzero) digits is 5880, while the sum is 28.

The square root of 72405307 is about 8509.1308016742. The cubic root of 72405307 is about 416.7959271138.

The spelling of 72405307 in words is "seventy-two million, four hundred five thousand, three hundred seven".