72147345 has 16 divisors (see below), whose sum is σ = 115644672. Its totient is φ = 38408960.

The previous prime is 72147301. The next prime is 72147349. The reversal of 72147345 is 54374127.

It is not a de Polignac number, because 72147345 - 2⁷ = 72147217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72147349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4840 + ... + 12950.

It is an arithmetic number, because the mean of its divisors is an integer number (7227792).

Almost surely, 2^72147345 is an apocalyptic number.

It is an amenable number.

72147345 is a deficient number, since it is larger than the sum of its proper divisors (43497327).

72147345 is a wasteful number, since it uses less digits than its factorization.

72147345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8712.

The product of its digits is 23520, while the sum is 33.

The square root of 72147345 is about 8493.9593241315. The cubic root of 72147345 is about 416.3003582357.

The spelling of 72147345 in words is "seventy-two million, one hundred forty-seven thousand, three hundred forty-five".