73814544 has 240 divisors, whose sum is σ = 246859200. Its totient is φ = 20984832.

The previous prime is 73814539. The next prime is 73814551. The reversal of 73814544 is 44541837.

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

Its product of digits (53760) is a multiple of the sum of its prime divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 73814499 and 73814508.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3209317 + ... + 3209339.

It is an arithmetic number, because the mean of its divisors is an integer number (1028580).

Almost surely, 2^73814544 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 73814544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123429600).

73814544 is an abundant number, since it is smaller than the sum of its proper divisors (173044656).

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

73814544 is a wasteful number, since it uses less digits than its factorization.

73814544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 64 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 73814544 is about 8591.5390937829. The cubic root of 73814544 is about 419.4826282499.

The spelling of 73814544 in words is "seventy-three million, eight hundred fourteen thousand, five hundred forty-four".