73854240 has 96 divisors (see below), whose sum is σ = 233948736. Its totient is φ = 19584000.

The previous prime is 73854229. The next prime is 73854241. The reversal of 73854240 is 4245837.

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

It is not an unprimeable number, because it can be changed into a prime (73854241) 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, 120174 + ... + 120786.

It is an arithmetic number, because the mean of its divisors is an integer number (2436966).

Almost surely, 2^73854240 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 73854240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116974368).

73854240 is an abundant number, since it is smaller than the sum of its proper divisors (160094496).

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

73854240 is a wasteful number, since it uses less digits than its factorization.

73854240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 73854240 is about 8593.8489630665. The cubic root of 73854240 is about 419.5578112576.

The spelling of 73854240 in words is "seventy-three million, eight hundred fifty-four thousand, two hundred forty".