72846045 has 24 divisors (see below), whose sum is σ = 126835800. Its totient is φ = 38676096.

The previous prime is 72846041. The next prime is 72846047. The reversal of 72846045 is 54064827.

It can be written as a sum of positive squares in 4 ways, for example, as 17089956 + 55756089 = 4134^2 + 7467^2 .

It is not a de Polignac number, because 72846045 - 2² = 72846041 is a prime.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72846041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6771 + ... + 13839.

It is an arithmetic number, because the mean of its divisors is an integer number (5284825).

Almost surely, 2^72846045 is an apocalyptic number.

It is an amenable number.

72846045 is a deficient number, since it is larger than the sum of its proper divisors (53989755).

72846045 is a wasteful number, since it uses less digits than its factorization.

72846045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7309 (or 7306 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 72846045 is about 8534.9894551780. The cubic root of 72846045 is about 417.6399091257.

The spelling of 72846045 in words is "seventy-two million, eight hundred forty-six thousand, forty-five".