72846347 has 16 divisors (see below), whose sum is σ = 86539200. Its totient is φ = 59996160.

The previous prime is 72846341. The next prime is 72846379. The reversal of 72846347 is 74364827.

It is not a de Polignac number, because 72846347 - 2⁴ = 72846331 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72846341) 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, 48179 + ... + 49667.

It is an arithmetic number, because the mean of its divisors is an integer number (5408700).

Almost surely, 2^72846347 is an apocalyptic number.

72846347 is a deficient number, since it is larger than the sum of its proper divisors (13692853).

72846347 is a wasteful number, since it uses less digits than its factorization.

72846347 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1766.

The product of its digits is 225792, while the sum is 41.

The square root of 72846347 is about 8535.0071470386. The cubic root of 72846347 is about 417.6404862656.

It can be divided in two parts, 7284 and 6347, that added together give a palindrome (13631).

The spelling of 72846347 in words is "seventy-two million, eight hundred forty-six thousand, three hundred forty-seven".