72846945 has 80 divisors (see below), whose sum is σ = 137998080. Its totient is φ = 36723456.

The previous prime is 72846941. The next prime is 72846947. The reversal of 72846945 is 54964827.

It is a happy number.

It is not a de Polignac number, because 72846945 - 2² = 72846941 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 72846945.

It is not an unprimeable number, because it can be changed into a prime (72846941) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 818461 + ... + 818549.

It is an arithmetic number, because the mean of its divisors is an integer number (1724976).

Almost surely, 2^72846945 is an apocalyptic number.

It is an amenable number.

72846945 is a deficient number, since it is larger than the sum of its proper divisors (65151135).

72846945 is a wasteful number, since it uses less digits than its factorization.

72846945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 187 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 72846945 is about 8535.0421791576. The cubic root of 72846945 is about 417.6416290743.

The spelling of 72846945 in words is "seventy-two million, eight hundred forty-six thousand, nine hundred forty-five".