72967307 has 8 divisors (see below), whose sum is σ = 83621376. Its totient is φ = 62370792.

The previous prime is 72967303. The next prime is 72967309. The reversal of 72967307 is 70376927.

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 72967307 - 2² = 72967303 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72967303) 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, 11633 + ... + 16770.

It is an arithmetic number, because the mean of its divisors is an integer number (10452672).

Almost surely, 2^72967307 is an apocalyptic number.

72967307 is a deficient number, since it is larger than the sum of its proper divisors (10654069).

72967307 is a wasteful number, since it uses less digits than its factorization.

72967307 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28777.

The product of its (nonzero) digits is 111132, while the sum is 41.

The square root of 72967307 is about 8542.0903179491. The cubic root of 72967307 is about 417.8715198487.

The spelling of 72967307 in words is "seventy-two million, nine hundred sixty-seven thousand, three hundred seven".