72842319 has 12 divisors (see below), whose sum is σ = 114781992. Its totient is φ = 44146800.

The previous prime is 72842303. The next prime is 72842323. The reversal of 72842319 is 91324827.

It is not a de Polignac number, because 72842319 - 2⁴ = 72842303 is a prime.

It is a super-2 number, since 2×72842319² = 10612006874595522, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72842369) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 367792 + ... + 367989.

It is an arithmetic number, because the mean of its divisors is an integer number (9565166).

Almost surely, 2^72842319 is an apocalyptic number.

72842319 is a deficient number, since it is larger than the sum of its proper divisors (41939673).

72842319 is a wasteful number, since it uses less digits than its factorization.

72842319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735798 (or 735795 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 72842319 is about 8534.7711744370. The cubic root of 72842319 is about 417.6327883875.

The spelling of 72842319 in words is "seventy-two million, eight hundred forty-two thousand, three hundred nineteen".