7252772527 has 32 divisors (see below), whose sum is σ = 9751279104. Its totient is φ = 5209660800.

The previous prime is 7252772503. The next prime is 7252772539.

It is a happy number.

7252772527 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 7252772527 - 2¹⁵ = 7252739759 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7252772557) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 793252 + ... + 802342.

It is an arithmetic number, because the mean of its divisors is an integer number (304727472).

Almost surely, 2^7252772527 is an apocalyptic number.

7252772527 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

7252772527 is a deficient number, since it is larger than the sum of its proper divisors (2498506577).

7252772527 is a wasteful number, since it uses less digits than its factorization.

7252772527 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9919.

The product of its digits is 960400, while the sum is 46.

The square root of 7252772527 is about 85163.2111125455. The cubic root of 7252772527 is about 1935.6850040436.

The spelling of 7252772527 in words is "seven billion, two hundred fifty-two million, seven hundred seventy-two thousand, five hundred twenty-seven".