72527281 has 8 divisors (see below), whose sum is σ = 74088000. Its totient is φ = 70981680.

The previous prime is 72527269. The next prime is 72527291. The reversal of 72527281 is 18272527.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72527281 - 2⁷ = 72527153 is a prime.

It is a super-2 number, since 2×72527281² = 10520412978505922, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72527201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6195 + ... + 13543.

It is an arithmetic number, because the mean of its divisors is an integer number (9261000).

Almost surely, 2^72527281 is an apocalyptic number.

72527281 is a gapful number since it is divisible by the number (71) formed by its first and last digit.

It is an amenable number.

72527281 is a deficient number, since it is larger than the sum of its proper divisors (1560719).

72527281 is a wasteful number, since it uses less digits than its factorization.

72527281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7559.

The product of its digits is 15680, while the sum is 34.

The square root of 72527281 is about 8516.2950277688. The cubic root of 72527281 is about 417.0298406570.

The spelling of 72527281 in words is "seventy-two million, five hundred twenty-seven thousand, two hundred eighty-one".