72052127 has 8 divisors (see below), whose sum is σ = 82404000. Its totient is φ = 61714944.

The previous prime is 72052117. The next prime is 72052139. The reversal of 72052127 is 72125027.

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 72052127 - 2¹⁰ = 72051103 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72052096 and 72052105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72052117) 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, 10499 + ... + 15947.

It is an arithmetic number, because the mean of its divisors is an integer number (10300500).

Almost surely, 2^72052127 is an apocalyptic number.

72052127 is a deficient number, since it is larger than the sum of its proper divisors (10351873).

72052127 is a wasteful number, since it uses less digits than its factorization.

72052127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7345.

The product of its (nonzero) digits is 1960, while the sum is 26.

The square root of 72052127 is about 8488.3524314204. The cubic root of 72052127 is about 416.1171371780.

Subtracting 72052127 from its reverse (72125027), we obtain a square (72900 = 270²).

The spelling of 72052127 in words is "seventy-two million, fifty-two thousand, one hundred twenty-seven".