72682127 has 8 divisors (see below), whose sum is σ = 83664000. Its totient is φ = 61849944.

The previous prime is 72682121. The next prime is 72682147. The reversal of 72682127 is 72128627.

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 72682127 - 2⁸ = 72681871 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72682121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36377 + ... + 38322.

It is an arithmetic number, because the mean of its divisors is an integer number (10458000).

Almost surely, 2^72682127 is an apocalyptic number.

72682127 is a deficient number, since it is larger than the sum of its proper divisors (10981873).

72682127 is a wasteful number, since it uses less digits than its factorization.

72682127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74845.

The product of its digits is 18816, while the sum is 35.

The square root of 72682127 is about 8525.3813404445. The cubic root of 72682127 is about 417.3264164190.

It can be divided in two parts, 7 and 2682127, that multiplied together give a square (18774889 = 4333²).

The spelling of 72682127 in words is "seventy-two million, six hundred eighty-two thousand, one hundred twenty-seven".