72868350 has 48 divisors (see below), whose sum is σ = 181238400. Its totient is φ = 19375200.

The previous prime is 72868339. The next prime is 72868351. The reversal of 72868350 is 5386827.

It is a junction number, because it is equal to n+sod(n) for n = 72868299 and 72868308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72868351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89445 + ... + 90255.

It is an arithmetic number, because the mean of its divisors is an integer number (3775800).

Almost surely, 2^72868350 is an apocalyptic number.

72868350 is an abundant number, since it is smaller than the sum of its proper divisors (108370050).

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

72868350 is a wasteful number, since it uses less digits than its factorization.

72868350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1425 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 72868350 is about 8536.2960351665. The cubic root of 72868350 is about 417.6825310121.

The spelling of 72868350 in words is "seventy-two million, eight hundred sixty-eight thousand, three hundred fifty".