1526560272 has 120 divisors (see below), whose sum is σ = 4387219200. Its totient is φ = 495316224.

The previous prime is 1526560253. The next prime is 1526560283. The reversal of 1526560272 is 2720656251.

1526560272 is a `hidden beast` number, since 1 + 5 + 26 + 560 + 2 + 72 = 666.

It is a super-3 number, since 3×1526560272³ (a number of 29 digits) contains 333 as substring.

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

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 23 ways as a sum of consecutive naturals, for example, 1060129 + ... + 1061567.

It is an arithmetic number, because the mean of its divisors is an integer number (36560160).

Almost surely, 2^1526560272 is an apocalyptic number.

1526560272 is a gapful number since it is divisible by the number (12) 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 1526560272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2193609600).

1526560272 is an abundant number, since it is smaller than the sum of its proper divisors (2860658928).

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

1526560272 is a wasteful number, since it uses less digits than its factorization.

1526560272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1645 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 1526560272 is about 39071.2205081950. The cubic root of 1526560272 is about 1151.4311789605.

The spelling of 1526560272 in words is "one billion, five hundred twenty-six million, five hundred sixty thousand, two hundred seventy-two".