73676544 has 144 divisors (see below), whose sum is σ = 211529472. Its totient is φ = 22708224.

The previous prime is 73676543. The next prime is 73676563. The reversal of 73676544 is 44567637.

It is a happy number.

Its product of digits (423360) is a multiple of the sum of its prime divisors (168).

It is a junction number, because it is equal to n+sod(n) for n = 73676496 and 73676505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73676543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 759504 + ... + 759600.

Almost surely, 2^73676544 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 73676544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105764736).

73676544 is an abundant number, since it is smaller than the sum of its proper divisors (137852928).

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

73676544 is a wasteful number, since it uses less digits than its factorization.

73676544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 168 counting only the distinct ones).

The product of its digits is 423360, while the sum is 42.

The square root of 73676544 is about 8583.5041795295. The cubic root of 73676544 is about 419.2210505522.

The spelling of 73676544 in words is "seventy-three million, six hundred seventy-six thousand, five hundred forty-four".