73656144 has 60 divisors (see below), whose sum is σ = 210540096. Its totient is φ = 24027456.

The previous prime is 73656137. The next prime is 73656157. The reversal of 73656144 is 44165637.

It is a happy number.

73656144 is a `hidden beast` number, since 7 + 36 + 5 + 614 + 4 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 73656099 and 73656108.

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 11 ways as a sum of consecutive naturals, for example, 1327 + ... + 12209.

Almost surely, 2^73656144 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 73656144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105270048).

73656144 is an abundant number, since it is smaller than the sum of its proper divisors (136883952).

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

73656144 is a wasteful number, since it uses less digits than its factorization.

73656144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10944 (or 10935 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 73656144 is about 8582.3157713988. The cubic root of 73656144 is about 419.1823548407.

The spelling of 73656144 in words is "seventy-three million, six hundred fifty-six thousand, one hundred forty-four".