72146768 has 20 divisors (see below), whose sum is σ = 145862688. Its totient is φ = 34504800.

The previous prime is 72146747. The next prime is 72146777. The reversal of 72146768 is 86764127.

It is a super-2 number, since 2×72146768² = 10410312265691648, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 97658 + ... + 98393.

Almost surely, 2^72146768 is an apocalyptic number.

It is an amenable number.

72146768 is an abundant number, since it is smaller than the sum of its proper divisors (73715920).

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

72146768 is a wasteful number, since it uses less digits than its factorization.

72146768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196082 (or 196076 counting only the distinct ones).

The product of its digits is 112896, while the sum is 41.

The square root of 72146768 is about 8493.9253587490. The cubic root of 72146768 is about 416.2992484422.

The spelling of 72146768 in words is "seventy-two million, one hundred forty-six thousand, seven hundred sixty-eight".