73544640 has 224 divisors, whose sum is σ = 258080256. Its totient is φ = 17633280.

The previous prime is 73544633. The next prime is 73544651. The reversal of 73544640 is 4644537.

It is a happy number.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 886039 + ... + 886121.

It is an arithmetic number, because the mean of its divisors is an integer number (1152144).

Almost surely, 2^73544640 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 73544640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129040128).

73544640 is an abundant number, since it is smaller than the sum of its proper divisors (184535616).

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

73544640 is a wasteful number, since it uses less digits than its factorization.

73544640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The square root of 73544640 is about 8575.8171622301. The cubic root of 73544640 is about 418.9707222799.

The spelling of 73544640 in words is "seventy-three million, five hundred forty-four thousand, six hundred forty".