73013600 has 72 divisors (see below), whose sum is σ = 194471928. Its totient is φ = 26547200.

The previous prime is 73013597. The next prime is 73013639. The reversal of 73013600 is 631037.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4652 + ... + 12948.

It is an arithmetic number, because the mean of its divisors is an integer number (2700999).

Almost surely, 2^73013600 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 73013600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97235964).

73013600 is an abundant number, since it is smaller than the sum of its proper divisors (121458328).

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

73013600 is a wasteful number, since it uses less digits than its factorization.

73013600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8328 (or 8315 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 20.

The square root of 73013600 is about 8544.7995880535. The cubic root of 73013600 is about 417.9598719138.

Adding to 73013600 its reverse (631037), we get a palindrome (73644637).

It can be divided in two parts, 7301 and 3600, that added together give a palindrome (10901).

The spelling of 73013600 in words is "seventy-three million, thirteen thousand, six hundred".