73566240 has 96 divisors (see below), whose sum is σ = 252818496. Its totient is φ = 17832960.

The previous prime is 73566221. The next prime is 73566253. The reversal of 73566240 is 4266537.

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

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1687 + ... + 12246.

It is an arithmetic number, because the mean of its divisors is an integer number (2633526).

Almost surely, 2^73566240 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 73566240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126409248).

73566240 is an abundant number, since it is smaller than the sum of its proper divisors (179252256).

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

73566240 is a wasteful number, since it uses less digits than its factorization.

73566240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13962 (or 13954 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 73566240 is about 8577.0764249830. The cubic root of 73566240 is about 419.0117353833.

The spelling of 73566240 in words is "seventy-three million, five hundred sixty-six thousand, two hundred forty".