72755727 has 24 divisors (see below), whose sum is σ = 109530288. Its totient is φ = 42894720.

The previous prime is 72755713. The next prime is 72755741.

72755727 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (72755713) and next prime (72755741).

It is not a de Polignac number, because 72755727 - 2⁸ = 72755471 is a prime.

It is a super-2 number, since 2×72755727² = 10586791622597058, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72755707) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10723 + ... + 16139.

It is an arithmetic number, because the mean of its divisors is an integer number (4563762).

Almost surely, 2^72755727 is an apocalyptic number.

72755727 is a deficient number, since it is larger than the sum of its proper divisors (36774561).

72755727 is a wasteful number, since it uses less digits than its factorization.

72755727 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5479 (or 5468 counting only the distinct ones).

The product of its digits is 240100, while the sum is 42.

The square root of 72755727 is about 8529.6967706947. The cubic root of 72755727 is about 417.4672344516.

The spelling of 72755727 in words is "seventy-two million, seven hundred fifty-five thousand, seven hundred twenty-seven".