72619 has 4 divisors (see below), whose sum is σ = 73440. Its totient is φ = 71800.

The previous prime is 72617. The next prime is 72623. The reversal of 72619 is 91627.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 91627 = 59 ⋅1553.

It is a cyclic number.

It is not a de Polignac number, because 72619 - 2¹ = 72617 is a prime.

It is a super-2 number, since 2×72619² = 10547038322, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72593 and 72602.

It is not an unprimeable number, because it can be changed into a prime (72613) 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, 259 + ... + 460.

It is an arithmetic number, because the mean of its divisors is an integer number (18360).

2⁷²⁶¹⁹ is an apocalyptic number.

72619 is a deficient number, since it is larger than the sum of its proper divisors (821).

72619 is a wasteful number, since it uses less digits than its factorization.

72619 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820.

The product of its digits is 756, while the sum is 25.

The square root of 72619 is about 269.4791272065. The cubic root of 72619 is about 41.7205560502.

The spelling of 72619 in words is "seventy-two thousand, six hundred nineteen".