73578240 has 144 divisors (see below), whose sum is σ = 261223200. Its totient is φ = 19611648.

The previous prime is 73578209. The next prime is 73578259. The reversal of 73578240 is 4287537.

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 = 73578195 and 73578204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33496 + ... + 35624.

It is an arithmetic number, because the mean of its divisors is an integer number (1814050).

Almost surely, 2^73578240 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 73578240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130611600).

73578240 is an abundant number, since it is smaller than the sum of its proper divisors (187644960).

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

73578240 is a wasteful number, since it uses less digits than its factorization.

73578240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2159 (or 2139 counting only the distinct ones).

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

The square root of 73578240 is about 8577.7759355208. The cubic root of 73578240 is about 419.0345169720.

The spelling of 73578240 in words is "seventy-three million, five hundred seventy-eight thousand, two hundred forty".