72729647075955 has 32 divisors (see below), whose sum is σ = 116699575025664. Its totient is φ = 38678481024896.

The previous prime is 72729647075867. The next prime is 72729647075963. The reversal of 72729647075955 is 55957074692727.

It is a cyclic number.

It is not a de Polignac number, because 72729647075955 - 2¹² = 72729647071859 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22175857 + ... + 25243373.

It is an arithmetic number, because the mean of its divisors is an integer number (3646861719552).

Almost surely, 2^{72729647075955} is an apocalyptic number.

72729647075955 is a deficient number, since it is larger than the sum of its proper divisors (43969927949709).

72729647075955 is a wasteful number, since it uses less digits than its factorization.

72729647075955 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3072035.

The product of its (nonzero) digits is 2333772000, while the sum is 75.

The spelling of 72729647075955 in words is "seventy-two trillion, seven hundred twenty-nine billion, six hundred forty-seven million, seventy-five thousand, nine hundred fifty-five".