72735873 has 16 divisors (see below), whose sum is σ = 112083840. Its totient is φ = 41095296.

The previous prime is 72735863. The next prime is 72735881. The reversal of 72735873 is 37853727.

It is not a de Polignac number, because 72735873 - 2¹² = 72731777 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72735823) 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, 17590 + ... + 21327.

It is an arithmetic number, because the mean of its divisors is an integer number (7005240).

Almost surely, 2^72735873 is an apocalyptic number.

It is an amenable number.

72735873 is a deficient number, since it is larger than the sum of its proper divisors (39347967).

72735873 is a wasteful number, since it uses less digits than its factorization.

72735873 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39016.

The product of its digits is 246960, while the sum is 42.

The square root of 72735873 is about 8528.5328750026. The cubic root of 72735873 is about 417.4292573793.

The spelling of 72735873 in words is "seventy-two million, seven hundred thirty-five thousand, eight hundred seventy-three".