72359705 has 16 divisors (see below), whose sum is σ = 95019264. Its totient is φ = 52462080.

The previous prime is 72359699. The next prime is 72359723. The reversal of 72359705 is 50795327.

It is not a de Polignac number, because 72359705 - 2⁴ = 72359689 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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, 17552 + ... + 21278.

It is an arithmetic number, because the mean of its divisors is an integer number (5938704).

Almost surely, 2^72359705 is an apocalyptic number.

It is an amenable number.

72359705 is a deficient number, since it is larger than the sum of its proper divisors (22659559).

72359705 is a wasteful number, since it uses less digits than its factorization.

72359705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4096.

The product of its (nonzero) digits is 66150, while the sum is 38.

The square root of 72359705 is about 8506.4507874906. The cubic root of 72359705 is about 416.7084071962.

The spelling of 72359705 in words is "seventy-two million, three hundred fifty-nine thousand, seven hundred five".