7272800367600 has 240 divisors, whose sum is σ = 23644186175232. Its totient is φ = 1910734049280.

The previous prime is 7272800367583. The next prime is 7272800367649. The reversal of 7272800367600 is 67630082727.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 7272800367600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22484619 + ... + 22805781.

Almost surely, 2^{7272800367600} 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 7272800367600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11822093087616).

7272800367600 is an abundant number, since it is smaller than the sum of its proper divisors (16371385807632).

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

7272800367600 is a wasteful number, since it uses less digits than its factorization.

7272800367600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321464 (or 321453 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 48.

The spelling of 7272800367600 in words is "seven trillion, two hundred seventy-two billion, eight hundred million, three hundred sixty-seven thousand, six hundred".