72727217816814 has 32 divisors (see below), whose sum is σ = 176308406830080. Its totient is φ = 22038550853400.

The previous prime is 72727217816809. The next prime is 72727217816861. The reversal of 72727217816814 is 41861871272727.

It is a happy number.

72727217816814 is a `hidden beast` number, since 7 + 27 + 272 + 178 + 168 + 14 = 666.

It is a super-2 number, since 2×72727217816814² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61218196222 + ... + 61218197409.

It is an arithmetic number, because the mean of its divisors is an integer number (5509637713440).

Almost surely, 2^{72727217816814} is an apocalyptic number.

72727217816814 is an abundant number, since it is smaller than the sum of its proper divisors (103581189013266).

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

72727217816814 is a wasteful number, since it uses less digits than its factorization.

72727217816814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122436393653 (or 122436393647 counting only the distinct ones).

The product of its digits is 29503488, while the sum is 63.

The spelling of 72727217816814 in words is "seventy-two trillion, seven hundred twenty-seven billion, two hundred seventeen million, eight hundred sixteen thousand, eight hundred fourteen".