72132005 has 16 divisors (see below), whose sum is σ = 94656384. Its totient is φ = 52332480.

The previous prime is 72132001. The next prime is 72132029. The reversal of 72132005 is 50023127.

It is not a de Polignac number, because 72132005 - 2² = 72132001 is a prime.

It is a super-2 number, since 2×72132005² = 10406052290640050, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72132001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25439 + ... + 28131.

It is an arithmetic number, because the mean of its divisors is an integer number (5916024).

Almost surely, 2^72132005 is an apocalyptic number.

It is an amenable number.

72132005 is a deficient number, since it is larger than the sum of its proper divisors (22524379).

72132005 is a wasteful number, since it uses less digits than its factorization.

72132005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3196.

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 72132005 is about 8493.0562814572. The cubic root of 72132005 is about 416.2708514897.

The spelling of 72132005 in words is "seventy-two million, one hundred thirty-two thousand, five".