72058 has 8 divisors (see below), whose sum is σ = 123552. Its totient is φ = 30876.

The previous prime is 72053. The next prime is 72073. The reversal of 72058 is 85027.

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

It is a d-powerful number, because it can be written as 7⁴ + 2¹⁶ + 0 + 5² + 8⁴ .

It is not an unprimeable number, because it can be changed into a prime (72053) 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, 2560 + ... + 2587.

It is an arithmetic number, because the mean of its divisors is an integer number (15444).

2⁷²⁰⁵⁸ is an apocalyptic number.

72058 is a deficient number, since it is larger than the sum of its proper divisors (51494).

72058 is a wasteful number, since it uses less digits than its factorization.

72058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5156.

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 72058 is about 268.4362121622. The cubic root of 72058 is about 41.6128442833.

The spelling of 72058 in words is "seventy-two thousand, fifty-eight".