72945807 has 16 divisors (see below), whose sum is σ = 111688320. Its totient is φ = 41882400.

The previous prime is 72945779. The next prime is 72945809. The reversal of 72945807 is 70854927.

It is not a de Polignac number, because 72945807 - 2⁷ = 72945679 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72945809) 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, 57544 + ... + 58797.

It is an arithmetic number, because the mean of its divisors is an integer number (6980520).

Almost surely, 2^72945807 is an apocalyptic number.

72945807 is a deficient number, since it is larger than the sum of its proper divisors (38742513).

72945807 is a wasteful number, since it uses less digits than its factorization.

72945807 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116374.

The product of its (nonzero) digits is 141120, while the sum is 42.

The square root of 72945807 is about 8540.8317510650. The cubic root of 72945807 is about 417.8304735199.

The spelling of 72945807 in words is "seventy-two million, nine hundred forty-five thousand, eight hundred seven".