72290768 has 40 divisors (see below), whose sum is σ = 153311616. Its totient is φ = 32748800.

The previous prime is 72290741. The next prime is 72290809. The reversal of 72290768 is 86709227.

It is a super-3 number, since 3×72290768³ (a number of 25 digits) contains 333 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 (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75380 + ... + 76332.

Almost surely, 2^72290768 is an apocalyptic number.

It is an amenable number.

72290768 is an abundant number, since it is smaller than the sum of its proper divisors (81020848).

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

72290768 is a wasteful number, since it uses less digits than its factorization.

72290768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1403 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 41.

The square root of 72290768 is about 8502.3977794502. The cubic root of 72290768 is about 416.5760326243.

The spelling of 72290768 in words is "seventy-two million, two hundred ninety thousand, seven hundred sixty-eight".