7821142272 has 360 divisors, whose sum is σ = 25167690240. Its totient is φ = 2413255680.

The previous prime is 7821142261. The next prime is 7821142297. The reversal of 7821142272 is 2722411287.

It is a super-2 number, since 2×7821142272² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (25088) is a multiple of the sum of its prime factors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 252294897 + ... + 252294927.

Almost surely, 2^7821142272 is an apocalyptic number.

7821142272 is a gapful number since it is divisible by the number (72) 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 7821142272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12583845120).

7821142272 is an abundant number, since it is smaller than the sum of its proper divisors (17346547968).

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

7821142272 is an frugal number, since it uses more digits than its factorization.

7821142272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 59 counting only the distinct ones).

The product of its digits is 25088, while the sum is 36.

The square root of 7821142272 is about 88437.2222087510. Note that the first 4 decimals coincide. The cubic root of 7821142272 is about 1984.9827120888.

The spelling of 7821142272 in words is "seven billion, eight hundred twenty-one million, one hundred forty-two thousand, two hundred seventy-two".