7254610272 has 432 divisors, whose sum is σ = 25898745600. Its totient is φ = 1885897728.

The previous prime is 7254610241. The next prime is 7254610273. The reversal of 7254610272 is 2720164527.

It is a happy number.

7254610272 is a `hidden beast` number, since 7 + 2 + 546 + 102 + 7 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7254610273) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 36455229 + ... + 36455427.

It is an arithmetic number, because the mean of its divisors is an integer number (59950800).

Almost surely, 2^7254610272 is an apocalyptic number.

7254610272 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 7254610272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12949372800).

7254610272 is an abundant number, since it is smaller than the sum of its proper divisors (18644135328).

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

7254610272 is a wasteful number, since it uses less digits than its factorization.

7254610272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 7254610272 is about 85173.9999765187. Note that the first 4 decimals coincide. The cubic root of 7254610272 is about 1935.8484815281.

Adding to 7254610272 its reverse (2720164527), we get a palindrome (9974774799).

The spelling of 7254610272 in words is "seven billion, two hundred fifty-four million, six hundred ten thousand, two hundred seventy-two".