72859745 has 32 divisors (see below), whose sum is σ = 107896320. Its totient is φ = 46126080.

The previous prime is 72859741. The next prime is 72859783. The reversal of 72859745 is 54795827.

It is a happy number.

It is not a de Polignac number, because 72859745 - 2² = 72859741 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 72859745.

It is not an unprimeable number, because it can be changed into a prime (72859741) 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 31 ways as a sum of consecutive naturals, for example, 21785 + ... + 24905.

It is an arithmetic number, because the mean of its divisors is an integer number (3371760).

Almost surely, 2^72859745 is an apocalyptic number.

It is an amenable number.

72859745 is a deficient number, since it is larger than the sum of its proper divisors (35036575).

72859745 is a wasteful number, since it uses less digits than its factorization.

72859745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3185.

The product of its digits is 705600, while the sum is 47.

The square root of 72859745 is about 8535.7919960599. The cubic root of 72859745 is about 417.6660890329. Note that the first 3 decimals are identical.

The spelling of 72859745 in words is "seventy-two million, eight hundred fifty-nine thousand, seven hundred forty-five".