72706361 has 16 divisors (see below), whose sum is σ = 90365184. Its totient is φ = 56960064.

The previous prime is 72706339. The next prime is 72706363. The reversal of 72706361 is 16360727.

It is not a de Polignac number, because 72706361 - 2¹⁸ = 72444217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72706363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5495 + ... + 13251.

It is an arithmetic number, because the mean of its divisors is an integer number (5647824).

Almost surely, 2^72706361 is an apocalyptic number.

It is an amenable number.

72706361 is a deficient number, since it is larger than the sum of its proper divisors (17658823).

72706361 is a wasteful number, since it uses less digits than its factorization.

72706361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7880.

The product of its (nonzero) digits is 10584, while the sum is 32.

The square root of 72706361 is about 8526.8025073881. The cubic root of 72706361 is about 417.3727935454.

It can be divided in two parts, 7270 and 6361, that added together give a palindrome (13631).

The spelling of 72706361 in words is "seventy-two million, seven hundred six thousand, three hundred sixty-one".