73884720 has 320 divisors, whose sum is σ = 299980800. Its totient is φ = 14598144.

The previous prime is 73884709. The next prime is 73884731. The reversal of 73884720 is 2748837.

It is an interprime number because it is at equal distance from previous prime (73884709) and next prime (73884731).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 371181 + ... + 371379.

It is an arithmetic number, because the mean of its divisors is an integer number (937440).

Almost surely, 2^73884720 is an apocalyptic number.

73884720 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73884720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149990400).

73884720 is an abundant number, since it is smaller than the sum of its proper divisors (226096080).

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

73884720 is a wasteful number, since it uses less digits than its factorization.

73884720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 73884720 is about 8595.6221415323. The cubic root of 73884720 is about 419.6155211614.

It can be divided in two parts, 738 and 84720, that added together give a palindrome (85458).

The spelling of 73884720 in words is "seventy-three million, eight hundred eighty-four thousand, seven hundred twenty".