7272657100800 has 2688 divisors, whose sum is σ = 33446484288000. Its totient is φ = 1508439490560.

The previous prime is 7272657100759. The next prime is 7272657100817. The reversal of 7272657100800 is 80017562727.

7272657100800 is a `hidden beast` number, since 7 + 2 + 72 + 6 + 571 + 0 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a super-2 number, since 2×7272657100800² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 48809779126 + ... + 48809779274.

It is an arithmetic number, because the mean of its divisors is an integer number (12442888500).

Almost surely, 2^{7272657100800} is an apocalyptic number.

7272657100800 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 7272657100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16723242144000).

7272657100800 is an abundant number, since it is smaller than the sum of its proper divisors (26173827187200).

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

7272657100800 is a wasteful number, since it uses less digits than its factorization.

7272657100800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 7272657100800 in words is "seven trillion, two hundred seventy-two billion, six hundred fifty-seven million, one hundred thousand, eight hundred".