73287984 has 160 divisors (see below), whose sum is σ = 239984640. Its totient is φ = 18720000.

The previous prime is 73287967. The next prime is 73288021. The reversal of 73287984 is 48978237.

It is a super-2 number, since 2×73287984² = 10742257197568512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 31 ways as a sum of consecutive naturals, for example, 291859 + ... + 292109.

It is an arithmetic number, because the mean of its divisors is an integer number (1499904).

Almost surely, 2^73287984 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 73287984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119992320).

73287984 is an abundant number, since it is smaller than the sum of its proper divisors (166696656).

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

73287984 is a wasteful number, since it uses less digits than its factorization.

73287984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 353 counting only the distinct ones).

The product of its digits is 677376, while the sum is 48.

The square root of 73287984 is about 8560.8401456866. The cubic root of 73287984 is about 418.4827797171.

The spelling of 73287984 in words is "seventy-three million, two hundred eighty-seven thousand, nine hundred eighty-four".