72022166510661 has 16 divisors (see below), whose sum is σ = 106891067016000. Its totient is φ = 47928575190384.

The previous prime is 72022166510647. The next prime is 72022166510719. The reversal of 72022166510661 is 16601566122027.

72022166510661 is a `hidden beast` number, since 72 + 0 + 2 + 2 + 1 + 6 + 6 + 510 + 6 + 61 = 666.

It is not a de Polignac number, because 72022166510661 - 2¹⁵ = 72022166477893 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72022166510461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2394498111 + ... + 2394528188.

It is an arithmetic number, because the mean of its divisors is an integer number (6680691688500).

Almost surely, 2^{72022166510661} is an apocalyptic number.

It is an amenable number.

72022166510661 is a deficient number, since it is larger than the sum of its proper divisors (34868900505339).

72022166510661 is a wasteful number, since it uses less digits than its factorization.

72022166510661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4789026865 (or 4789026859 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 72022166510661 in words is "seventy-two trillion, twenty-two billion, one hundred sixty-six million, five hundred ten thousand, six hundred sixty-one".