73113600 has 336 divisors, whose sum is σ = 292534848. Its totient is φ = 15728640.

The previous prime is 73113571. The next prime is 73113613. The reversal of 73113600 is 631137.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4300792 + ... + 4300808.

Almost surely, 2^73113600 is an apocalyptic number.

73113600 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146267424).

73113600 is an abundant number, since it is smaller than the sum of its proper divisors (219421248).

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

73113600 is a wasteful number, since it uses less digits than its factorization.

73113600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 21.

The square root of 73113600 is about 8550.6490981679. The cubic root of 73113600 is about 418.1505985744.

Adding to 73113600 its reverse (631137), we get a palindrome (73744737).

The spelling of 73113600 in words is "seventy-three million, one hundred thirteen thousand, six hundred".