73455840 has 144 divisors (see below), whose sum is σ = 259459200. Its totient is φ = 18902016.

The previous prime is 73455839. The next prime is 73455847. The reversal of 73455840 is 4855437.

73455840 is a `hidden beast` number, since 73 + 4 + 5 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 73455795 and 73455804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73455847) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40881 + ... + 42639.

It is an arithmetic number, because the mean of its divisors is an integer number (1801800).

Almost surely, 2^73455840 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 73455840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129729600).

73455840 is an abundant number, since it is smaller than the sum of its proper divisors (186003360).

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

73455840 is a wasteful number, since it uses less digits than its factorization.

73455840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1809 (or 1798 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 73455840 is about 8570.6382492788. The cubic root of 73455840 is about 418.8020284355.

The spelling of 73455840 in words is "seventy-three million, four hundred fifty-five thousand, eight hundred forty".