73822464 has 81 divisors (see below), whose sum is σ = 214044103. Its totient is φ = 24470016.

The previous prime is 73822459. The next prime is 73822471. The reversal of 73822464 is 46422837.

The square root of 73822464 is 8592.

It is a perfect power (a square), and thus also a powerful number.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 412327 + ... + 412505.

Almost surely, 2^73822464 is an apocalyptic number.

73822464 is the 8592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73822464

73822464 is an abundant number, since it is smaller than the sum of its proper divisors (140221639).

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

73822464 is an equidigital number, since it uses as much as digits as its factorization.

73822464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 184 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The cubic root of 73822464 is about 419.4976306393.

Multiplying 73822464 by its sum of digits (36), we get a square (2657608704 = 51552²).

73822464 divided by its sum of digits (36) gives a square (2050624 = 1432²).

The spelling of 73822464 in words is "seventy-three million, eight hundred twenty-two thousand, four hundred sixty-four".