72314067 has 16 divisors (see below), whose sum is σ = 110315520. Its totient is φ = 41276352.

The previous prime is 72314027. The next prime is 72314069. The reversal of 72314067 is 76041327.

It is not a de Polignac number, because 72314067 - 2¹² = 72309971 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72314069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29023 + ... + 31415.

It is an arithmetic number, because the mean of its divisors is an integer number (6894720).

Almost surely, 2^72314067 is an apocalyptic number.

72314067 is a deficient number, since it is larger than the sum of its proper divisors (38001453).

72314067 is a wasteful number, since it uses less digits than its factorization.

72314067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3842.

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 72314067 is about 8503.7678119761. The cubic root of 72314067 is about 416.6207813649.

The spelling of 72314067 in words is "seventy-two million, three hundred fourteen thousand, sixty-seven".