73197600 has 144 divisors (see below), whose sum is σ = 272357568. Its totient is φ = 16727040.

The previous prime is 73197599. The next prime is 73197601. The reversal of 73197600 is 679137.

It is an interprime number because it is at equal distance from previous prime (73197599) and next prime (73197601).

It is not an unprimeable number, because it can be changed into a prime (73197601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14622 + ... + 18978.

It is an arithmetic number, because the mean of its divisors is an integer number (1891372).

Almost surely, 2^73197600 is an apocalyptic number.

73197600 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 73197600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136178784).

73197600 is an abundant number, since it is smaller than the sum of its proper divisors (199159968).

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

73197600 is a wasteful number, since it uses less digits than its factorization.

73197600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4387 (or 4374 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 33.

The square root of 73197600 is about 8555.5595959586. The cubic root of 73197600 is about 418.3106746174.

The spelling of 73197600 in words is "seventy-three million, one hundred ninety-seven thousand, six hundred".