73839768 has 64 divisors (see below), whose sum is σ = 193797120. Its totient is φ = 23414400.

The previous prime is 73839751. The next prime is 73839791. The reversal of 73839768 is 86793837.

It is a super-2 number, since 2×73839768² = 10904622676587648, which contains 22 as substring.

Its product of digits (1524096) is a multiple of the sum of its prime factors (1728).

It is a self number, because there is not a number n which added to its sum of digits gives 73839768.

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, 44571 + ... + 46197.

It is an arithmetic number, because the mean of its divisors is an integer number (3028080).

Almost surely, 2^73839768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73839768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96898560).

73839768 is an abundant number, since it is smaller than the sum of its proper divisors (119957352).

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

73839768 is a wasteful number, since it uses less digits than its factorization.

73839768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1728 (or 1724 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 51.

The square root of 73839768 is about 8593.0069242379. The cubic root of 73839768 is about 419.5304048542.

The spelling of 73839768 in words is "seventy-three million, eight hundred thirty-nine thousand, seven hundred sixty-eight".