72519 has 8 divisors (see below), whose sum is σ = 100992. Its totient is φ = 46200.

The previous prime is 72503. The next prime is 72533. The reversal of 72519 is 91527.

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

It is not a de Polignac number, because 72519 - 2⁴ = 72503 is a prime.

It is a super-2 number, since 2×72519² = 10518010722, which contains 22 as substring.

72519 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72559) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 457 + ... + 594.

It is an arithmetic number, because the mean of its divisors is an integer number (12624).

2⁷²⁵¹⁹ is an apocalyptic number.

72519 is a deficient number, since it is larger than the sum of its proper divisors (28473).

72519 is a wasteful number, since it uses less digits than its factorization.

72519 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077.

The product of its digits is 630, while the sum is 24.

The square root of 72519 is about 269.2935201597. The cubic root of 72519 is about 41.7013968213.

It can be divided in two parts, 7251 and 9, that added together give a triangular number (7260 = T₁₂₀).

The spelling of 72519 in words is "seventy-two thousand, five hundred nineteen".