72960967 has 8 divisors (see below), whose sum is σ = 74655936. Its totient is φ = 71272032.

The previous prime is 72960959. The next prime is 72960971. The reversal of 72960967 is 76906927.

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 72960967 - 2³ = 72960959 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72960907) 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, 30673 + ... + 32965.

It is an arithmetic number, because the mean of its divisors is an integer number (9331992).

Almost surely, 2^72960967 is an apocalyptic number.

72960967 is a deficient number, since it is larger than the sum of its proper divisors (1694969).

72960967 is a wasteful number, since it uses less digits than its factorization.

72960967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3017.

The product of its (nonzero) digits is 285768, while the sum is 46.

The square root of 72960967 is about 8541.7192063425. The cubic root of 72960967 is about 417.8594167929.

The spelling of 72960967 in words is "seventy-two million, nine hundred sixty thousand, nine hundred sixty-seven".