7187254272 has 264 divisors, whose sum is σ = 23380211712. Its totient is φ = 2106777600.

The previous prime is 7187254267. The next prime is 7187254273. The reversal of 7187254272 is 2724527817.

It is a tau number, because it is divible by the number of its divisors (264).

It is not an unprimeable number, because it can be changed into a prime (7187254273) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3141513 + ... + 3143799.

It is an arithmetic number, because the mean of its divisors is an integer number (88561408).

Almost surely, 2^7187254272 is an apocalyptic number.

7187254272 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 7187254272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11690105856).

7187254272 is an abundant number, since it is smaller than the sum of its proper divisors (16192957440).

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

7187254272 is a wasteful number, since it uses less digits than its factorization.

7187254272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2355 (or 2334 counting only the distinct ones).

The product of its digits is 439040, while the sum is 45.

The square root of 7187254272 is about 84777.6755519989. The cubic root of 7187254272 is about 1929.8386642411.

The spelling of 7187254272 in words is "seven billion, one hundred eighty-seven million, two hundred fifty-four thousand, two hundred seventy-two".