73067040 has 72 divisors (see below), whose sum is σ = 249346188. Its totient is φ = 19484160.

The previous prime is 73066993. The next prime is 73067041. The reversal of 73067040 is 4076037.

It can be written as a sum of positive squares in 2 ways, for example, as 68757264 + 4309776 = 8292^2 + 2076^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 73066995 and 73067013.

It is not an unprimeable number, because it can be changed into a prime (73067041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23931 + ... + 26810.

Almost surely, 2^73067040 is an apocalyptic number.

It is an amenable number.

73067040 is an abundant number, since it is smaller than the sum of its proper divisors (176279148).

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

73067040 is a wasteful number, since it uses less digits than its factorization.

73067040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50762 (or 50751 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 73067040 is about 8547.9260642568. The cubic root of 73067040 is about 418.0618178912.

The spelling of 73067040 in words is "seventy-three million, sixty-seven thousand, forty".