72715335 has 64 divisors (see below), whose sum is σ = 146340864. Its totient is φ = 29952000.

The previous prime is 72715333. The next prime is 72715343. The reversal of 72715335 is 53351727.

It is not a de Polignac number, because 72715335 - 2¹ = 72715333 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 72715296 and 72715305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72715333) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 181135 + ... + 181535.

It is an arithmetic number, because the mean of its divisors is an integer number (2286576).

Almost surely, 2^72715335 is an apocalyptic number.

72715335 is an abundant number, since it is smaller than the sum of its proper divisors (73625529).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72715335 is a wasteful number, since it uses less digits than its factorization.

72715335 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584.

The product of its digits is 22050, while the sum is 33.

The square root of 72715335 is about 8527.3287141988. The cubic root of 72715335 is about 417.3899646673.

The spelling of 72715335 in words is "seventy-two million, seven hundred fifteen thousand, three hundred thirty-five".