73287840 has 96 divisors (see below), whose sum is σ = 234734976. Its totient is φ = 19215360.

The previous prime is 73287827. The next prime is 73287847. The reversal of 73287840 is 4878237.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×73287840² = 10742214983731200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (73287847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28029 + ... + 30531.

It is an arithmetic number, because the mean of its divisors is an integer number (2445156).

Almost surely, 2^73287840 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 73287840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117367488).

73287840 is an abundant number, since it is smaller than the sum of its proper divisors (161447136).

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

73287840 is a wasteful number, since it uses less digits than its factorization.

73287840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2582 (or 2574 counting only the distinct ones).

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

The square root of 73287840 is about 8560.8317352930. The cubic root of 73287840 is about 418.4825056314.

The spelling of 73287840 in words is "seventy-three million, two hundred eighty-seven thousand, eight hundred forty".