72814735 has 24 divisors (see below), whose sum is σ = 102025440. Its totient is φ = 49742784.

The previous prime is 72814681. The next prime is 72814747. The reversal of 72814735 is 53741827.

It is not a de Polignac number, because 72814735 - 2⁷ = 72814607 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72814694 and 72814703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107217 + ... + 107893.

It is an arithmetic number, because the mean of its divisors is an integer number (4251060).

Almost surely, 2^72814735 is an apocalyptic number.

72814735 is a deficient number, since it is larger than the sum of its proper divisors (29210705).

72814735 is a wasteful number, since it uses less digits than its factorization.

72814735 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135 (or 1128 counting only the distinct ones).

The product of its digits is 47040, while the sum is 37.

The square root of 72814735 is about 8533.1550437104. The cubic root of 72814735 is about 417.5800652021.

The spelling of 72814735 in words is "seventy-two million, eight hundred fourteen thousand, seven hundred thirty-five".