72919 has 8 divisors (see below), whose sum is σ = 91008. Its totient is φ = 56760.

The previous prime is 72911. The next prime is 72923. The reversal of 72919 is 91927.

72919 is nontrivially palindromic in base 5.

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

It is not a de Polignac number, because 72919 - 2³ = 72911 is a prime.

It is a super-2 number, since 2×72919² = 10634361122, 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 (72911) 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, 397 + ... + 550.

It is an arithmetic number, because the mean of its divisors is an integer number (11376).

2⁷²⁹¹⁹ is an apocalyptic number.

72919 is a deficient number, since it is larger than the sum of its proper divisors (18089).

72919 is a wasteful number, since it uses less digits than its factorization.

72919 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965.

The product of its digits is 1134, while the sum is 28.

The square root of 72919 is about 270.0351828929. The cubic root of 72919 is about 41.7779284131. Note that the first 3 decimals are identical.

It can be divided in two parts, 7 and 2919, that added together give a triangular number (2926 = T₇₆).

The spelling of 72919 in words is "seventy-two thousand, nine hundred nineteen".