73821456 has 70 divisors (see below), whose sum is σ = 214479390. Its totient is φ = 24603264.

The previous prime is 73821427. The next prime is 73821457. The reversal of 73821456 is 65412837.

It can be written as a sum of positive squares in only one way, i.e., 69155856 + 4665600 = 8316^2 + 2160^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 73821456.

It is not an unprimeable number, because it can be changed into a prime (73821457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 8500 + ... + 14828.

Almost surely, 2^73821456 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 73821456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107239695).

73821456 is an abundant number, since it is smaller than the sum of its proper divisors (140657934).

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

73821456 is an equidigital number, since it uses as much as digits as its factorization.

73821456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6355 (or 6334 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 73821456 is about 8591.9413405819. The cubic root of 73821456 is about 419.4957213039.

The spelling of 73821456 in words is "seventy-three million, eight hundred twenty-one thousand, four hundred fifty-six".