73545840 has 160 divisors (see below), whose sum is σ = 257126400. Its totient is φ = 19319040.

The previous prime is 73545839. The next prime is 73545863. The reversal of 73545840 is 4854537.

73545840 is a `hidden beast` number, since 73 + 5 + 4 + 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 = 73545795 and 73545804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 170425 + ... + 170855.

It is an arithmetic number, because the mean of its divisors is an integer number (1607040).

Almost surely, 2^73545840 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 73545840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128563200).

73545840 is an abundant number, since it is smaller than the sum of its proper divisors (183580560).

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

73545840 is a wasteful number, since it uses less digits than its factorization.

73545840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 520 counting only the distinct ones).

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

The square root of 73545840 is about 8575.8871261229. The cubic root of 73545840 is about 418.9730009963.

The spelling of 73545840 in words is "seventy-three million, five hundred forty-five thousand, eight hundred forty".