73564640 has 48 divisors (see below), whose sum is σ = 175461552. Its totient is φ = 29144064.

The previous prime is 73564607. The next prime is 73564651. The reversal of 73564640 is 4646537.

It is a self number, because there is not a number n which added to its sum of digits gives 73564640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14972 + ... + 19268.

It is an arithmetic number, because the mean of its divisors is an integer number (3655449).

Almost surely, 2^73564640 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 73564640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87730776).

73564640 is an abundant number, since it is smaller than the sum of its proper divisors (101896912).

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

73564640 is a wasteful number, since it uses less digits than its factorization.

73564640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4419 (or 4411 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 35.

The square root of 73564640 is about 8576.9831526009. The cubic root of 73564640 is about 419.0086976510.

The spelling of 73564640 in words is "seventy-three million, five hundred sixty-four thousand, six hundred forty".