72145 has 8 divisors (see below), whose sum is σ = 88704. Its totient is φ = 56304.

The previous prime is 72139. The next prime is 72161. The reversal of 72145 is 54127.

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

It is a cyclic number.

It is not a de Polignac number, because 72145 - 2⁹ = 71633 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82 + ... + 388.

It is an arithmetic number, because the mean of its divisors is an integer number (11088).

2⁷²¹⁴⁵ is an apocalyptic number.

It is an amenable number.

72145 is a deficient number, since it is larger than the sum of its proper divisors (16559).

72145 is a wasteful number, since it uses less digits than its factorization.

72145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359.

The product of its digits is 280, while the sum is 19.

The square root of 72145 is about 268.5982129501. The cubic root of 72145 is about 41.6295847860.

It can be divided in two parts, 72 and 145, that multiplied together give a triangular number (10440 = T₁₄₄).

The spelling of 72145 in words is "seventy-two thousand, one hundred forty-five".