7273987200 has 576 divisors, whose sum is σ = 27968522400. Its totient is φ = 1793556480.

The previous prime is 7273987129. The next prime is 7273987207. The reversal of 7273987200 is 27893727.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7273987207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40636711 + ... + 40636889.

Almost surely, 2^7273987200 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 7273987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13984261200).

7273987200 is an abundant number, since it is smaller than the sum of its proper divisors (20694535200).

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

7273987200 is a wasteful number, since it uses less digits than its factorization.

7273987200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The square root of 7273987200 is about 85287.6732007621. The cubic root of 7273987200 is about 1937.5704876194.

The spelling of 7273987200 in words is "seven billion, two hundred seventy-three million, nine hundred eighty-seven thousand, two hundred".