73789656 has 64 divisors (see below), whose sum is σ = 197769600. Its totient is φ = 22860288.

The previous prime is 73789649. The next prime is 73789663. The reversal of 73789656 is 65698737.

It is an interprime number because it is at equal distance from previous prime (73789649) and next prime (73789663).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 73789599 and 73789608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32775 + ... + 34953.

It is an arithmetic number, because the mean of its divisors is an integer number (3090150).

Almost surely, 2^73789656 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 73789656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98884800).

73789656 is an abundant number, since it is smaller than the sum of its proper divisors (123979944).

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

73789656 is a wasteful number, since it uses less digits than its factorization.

73789656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2288 (or 2284 counting only the distinct ones).

The product of its digits is 1905120, while the sum is 51.

The square root of 73789656 is about 8590.0905699533. The cubic root of 73789656 is about 419.4354773920.

The spelling of 73789656 in words is "seventy-three million, seven hundred eighty-nine thousand, six hundred fifty-six".