73966140 has 72 divisors (see below), whose sum is σ = 225829968. Its totient is φ = 19595520.

The previous prime is 73966129. The next prime is 73966141. The reversal of 73966140 is 4166937.

73966140 is a `hidden beast` number, since 7 + 39 + 6 + 614 + 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 = 73966095 and 73966104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73966141) 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 23 ways as a sum of consecutive naturals, for example, 28080 + ... + 30600.

Almost surely, 2^73966140 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 73966140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112914984).

73966140 is an abundant number, since it is smaller than the sum of its proper divisors (151863828).

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

73966140 is a wasteful number, since it uses less digits than its factorization.

73966140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2699 (or 2694 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 73966140 is about 8600.3569693356. The cubic root of 73966140 is about 419.7696015251.

The spelling of 73966140 in words is "seventy-three million, nine hundred sixty-six thousand, one hundred forty".