72833616 has 120 divisors (see below), whose sum is σ = 214138080. Its totient is φ = 23079168.

The previous prime is 72833609. The next prime is 72833639. The reversal of 72833616 is 61633827.

It is a happy number.

72833616 is a `hidden beast` number, since 7 + 2 + 8 + 33 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 446751 + ... + 446913.

It is an arithmetic number, because the mean of its divisors is an integer number (1784484).

Almost surely, 2^72833616 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 72833616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107069040).

72833616 is an abundant number, since it is smaller than the sum of its proper divisors (141304464).

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

72833616 is a wasteful number, since it uses less digits than its factorization.

72833616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 304 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 72833616 is about 8534.2613037099. The cubic root of 72833616 is about 417.6161551860.

The spelling of 72833616 in words is "seventy-two million, eight hundred thirty-three thousand, six hundred sixteen".