72061 has 4 divisors (see below), whose sum is σ = 78624. Its totient is φ = 65500.

The previous prime is 72053. The next prime is 72073. The reversal of 72061 is 16027.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 72061 - 2³ = 72053 is a prime.

It is a Duffinian number.

72061 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72031) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3265 + ... + 3286.

It is an arithmetic number, because the mean of its divisors is an integer number (19656).

2⁷²⁰⁶¹ is an apocalyptic number.

It is an amenable number.

72061 is a deficient number, since it is larger than the sum of its proper divisors (6563).

72061 is a wasteful number, since it uses less digits than its factorization.

72061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6562.

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 72061 is about 268.4418000238. The cubic root of 72061 is about 41.6134217663.

Adding to 72061 its reverse (16027), we get a palindrome (88088).

The spelling of 72061 in words is "seventy-two thousand, sixty-one".