73275840 has 280 divisors, whose sum is σ = 285457392. Its totient is φ = 17694720.

The previous prime is 73275833. The next prime is 73275857. The reversal of 73275840 is 4857237.

73275840 is a `hidden beast` number, since 73 + 2 + 7 + 584 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 73275795 and 73275804.

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 39 ways as a sum of consecutive naturals, for example, 284992 + ... + 285248.

Almost surely, 2^73275840 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 73275840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142728696).

73275840 is an abundant number, since it is smaller than the sum of its proper divisors (212181552).

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

73275840 is a wasteful number, since it uses less digits than its factorization.

73275840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 73275840 is about 8560.1308401215. The cubic root of 73275840 is about 418.4596638968.

The spelling of 73275840 in words is "seventy-three million, two hundred seventy-five thousand, eight hundred forty".