73153600 has 84 divisors (see below), whose sum is σ = 193905124. Its totient is φ = 27002880.

The previous prime is 73153571. The next prime is 73153609. The reversal of 73153600 is 635137.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 153664 + 72999936 = 392^2 + 8544^2 .

It is a super-3 number, since 3×73153600³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (73153609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19042 + ... + 22558.

Almost surely, 2^73153600 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 73153600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96952562).

73153600 is an abundant number, since it is smaller than the sum of its proper divisors (120751524).

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

73153600 is a wasteful number, since it uses less digits than its factorization.

73153600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3552 (or 3537 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 25.

The square root of 73153600 is about 8552.9877820560. The cubic root of 73153600 is about 418.2268405442.

Adding to 73153600 its reverse (635137), we get a palindrome (73788737).

The spelling of 73153600 in words is "seventy-three million, one hundred fifty-three thousand, six hundred".