72868848 has 80 divisors (see below), whose sum is σ = 209319936. Its totient is φ = 21692160.

The previous prime is 72868837. The next prime is 72868867. The reversal of 72868848 is 84886827.

It is a self number, because there is not a number n which added to its sum of digits gives 72868848.

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, 17461 + ... + 21227.

Almost surely, 2^72868848 is an apocalyptic number.

72868848 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72868848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104659968).

72868848 is an abundant number, since it is smaller than the sum of its proper divisors (136451088).

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

72868848 is a wasteful number, since it uses less digits than its factorization.

72868848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3822 (or 3816 counting only the distinct ones).

The product of its digits is 1376256, while the sum is 51.

The square root of 72868848 is about 8536.3252046768. The cubic root of 72868848 is about 417.6834825245.

The spelling of 72868848 in words is "seventy-two million, eight hundred sixty-eight thousand, eight hundred forty-eight".