72754281 has 20 divisors (see below), whose sum is σ = 109008900. Its totient is φ = 48357216.

The previous prime is 72754223. The next prime is 72754289. The reversal of 72754281 is 18245727.

72754281 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in 2 ways, for example, as 39576681 + 33177600 = 6291^2 + 5760^2 .

It is not a de Polignac number, because 72754281 - 2¹¹ = 72752233 is a prime.

It is a super-2 number, since 2×72754281² = 10586370807653922, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72754289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 30355 + ... + 32663.

It is an arithmetic number, because the mean of its divisors is an integer number (5450445).

Almost surely, 2^72754281 is an apocalyptic number.

It is an amenable number.

72754281 is a deficient number, since it is larger than the sum of its proper divisors (36254619).

72754281 is a wasteful number, since it uses less digits than its factorization.

72754281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2710 (or 2701 counting only the distinct ones).

The product of its digits is 31360, while the sum is 36.

The square root of 72754281 is about 8529.6120075886. The cubic root of 72754281 is about 417.4644687512.

The spelling of 72754281 in words is "seventy-two million, seven hundred fifty-four thousand, two hundred eighty-one".