72126523 has 8 divisors (see below), whose sum is σ = 84347648. Its totient is φ = 60384744.

The previous prime is 72126517. The next prime is 72126533. The reversal of 72126523 is 32562127.

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

It is not a de Polignac number, because 72126523 - 2²¹ = 70029371 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72126491 and 72126500.

It is not an unprimeable number, because it can be changed into a prime (72126533) 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 7 ways as a sum of consecutive naturals, for example, 119511 + ... + 120112.

It is an arithmetic number, because the mean of its divisors is an integer number (10543456).

Almost surely, 2^72126523 is an apocalyptic number.

72126523 is a deficient number, since it is larger than the sum of its proper divisors (12221125).

72126523 is a wasteful number, since it uses less digits than its factorization.

72126523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239673.

The product of its digits is 5040, while the sum is 28.

The square root of 72126523 is about 8492.7335410926. The cubic root of 72126523 is about 416.2603057566.

The spelling of 72126523 in words is "seventy-two million, one hundred twenty-six thousand, five hundred twenty-three".