72142866 has 64 divisors (see below), whose sum is σ = 171849600. Its totient is φ = 22353408.

The previous prime is 72142813. The next prime is 72142871. The reversal of 72142866 is 66824127.

It is a super-2 number, since 2×72142866² = 10409186229387912, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 72142866.

It is a congruent number.

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, 81261 + ... + 82143.

It is an arithmetic number, because the mean of its divisors is an integer number (2685150).

Almost surely, 2^72142866 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72142866, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85924800).

72142866 is an abundant number, since it is smaller than the sum of its proper divisors (99706734).

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

72142866 is a wasteful number, since it uses less digits than its factorization.

72142866 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 994 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 72142866 is about 8493.6956620778. The cubic root of 72142866 is about 416.2917432368.

The spelling of 72142866 in words is "seventy-two million, one hundred forty-two thousand, eight hundred sixty-six".