7722272250 has 576 divisors, whose sum is σ = 27470866176. Its totient is φ = 1520064000.

The previous prime is 7722272249. The next prime is 7722272269. The reversal of 7722272250 is 522722277.

It is a happy number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 145703224 + ... + 145703276.

It is an arithmetic number, because the mean of its divisors is an integer number (47692476).

Almost surely, 2^7722272250 is an apocalyptic number.

7722272250 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 7722272250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13735433088).

7722272250 is an abundant number, since it is smaller than the sum of its proper divisors (19748593926).

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

7722272250 is a wasteful number, since it uses less digits than its factorization.

7722272250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 36.

The square root of 7722272250 is about 87876.4601585658. The cubic root of 7722272250 is about 1976.5829108851.

It can be divided in two parts, 772227 and 2250, that added together give a palindrome (774477).

The spelling of 7722272250 in words is "seven billion, seven hundred twenty-two million, two hundred seventy-two thousand, two hundred fifty".