7282251144 has 192 divisors, whose sum is σ = 23901696000. Its totient is φ = 1956597120.

The previous prime is 7282251139. The next prime is 7282251167. The reversal of 7282251144 is 4411522827.

It is a super-3 number, since 3×7282251144³ (a number of 31 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 7282251099 and 7282251108.

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, 1328329 + ... + 1333799.

It is an arithmetic number, because the mean of its divisors is an integer number (124488000).

Almost surely, 2^7282251144 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 7282251144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11950848000).

7282251144 is an abundant number, since it is smaller than the sum of its proper divisors (16619444856).

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

7282251144 is a wasteful number, since it uses less digits than its factorization.

7282251144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5648 (or 5641 counting only the distinct ones).

The product of its digits is 35840, while the sum is 36.

The square root of 7282251144 is about 85336.1069184668. The cubic root of 7282251144 is about 1938.3039649490.

The spelling of 7282251144 in words is "seven billion, two hundred eighty-two million, two hundred fifty-one thousand, one hundred forty-four".