72671135 has 16 divisors (see below), whose sum is σ = 89304384. Its totient is φ = 56754432.

The previous prime is 72671113. The next prime is 72671149. The reversal of 72671135 is 53117627.

It is a cyclic number.

It is not a de Polignac number, because 72671135 - 2¹⁰ = 72670111 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36629 + ... + 38561.

It is an arithmetic number, because the mean of its divisors is an integer number (5581524).

Almost surely, 2^72671135 is an apocalyptic number.

72671135 is a deficient number, since it is larger than the sum of its proper divisors (16633249).

72671135 is a wasteful number, since it uses less digits than its factorization.

72671135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2114.

The product of its digits is 8820, while the sum is 32.

The square root of 72671135 is about 8524.7366528239. The cubic root of 72671135 is about 417.3053773942.

The spelling of 72671135 in words is "seventy-two million, six hundred seventy-one thousand, one hundred thirty-five".