7257165552 has 480 divisors, whose sum is σ = 26242070400. Its totient is φ = 1831624704.

The previous prime is 7257165493. The next prime is 7257165623. The reversal of 7257165552 is 2555617527.

7257165552 is a `hidden beast` number, since 7 + 25 + 71 + 6 + 5 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 7257165498 and 7257165507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64222648 + ... + 64222760.

It is an arithmetic number, because the mean of its divisors is an integer number (54670980).

Almost surely, 2^7257165552 is an apocalyptic number.

7257165552 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 7257165552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13121035200).

7257165552 is an abundant number, since it is smaller than the sum of its proper divisors (18984904848).

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

7257165552 is a wasteful number, since it uses less digits than its factorization.

7257165552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 167 counting only the distinct ones).

The product of its digits is 735000, while the sum is 45.

The square root of 7257165552 is about 85188.9990080879. Note that the first 3 decimals coincide. The cubic root of 7257165552 is about 1936.0757418060.

The spelling of 7257165552 in words is "seven billion, two hundred fifty-seven million, one hundred sixty-five thousand, five hundred fifty-two".