72007314 has 16 divisors (see below), whose sum is σ = 145750752. Its totient is φ = 23713088.

The previous prime is 72007301. The next prime is 72007339. The reversal of 72007314 is 41370027.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71799 + ... + 72794.

It is an arithmetic number, because the mean of its divisors is an integer number (9109422).

Almost surely, 2^72007314 is an apocalyptic number.

72007314 is an abundant number, since it is smaller than the sum of its proper divisors (73743438).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72007314 is a wasteful number, since it uses less digits than its factorization.

72007314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144681.

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

The square root of 72007314 is about 8485.7123448771. The cubic root of 72007314 is about 416.0308509233.

The spelling of 72007314 in words is "seventy-two million, seven thousand, three hundred fourteen".