72492000319 has 8 divisors (see below), whose sum is σ = 73549427328. Its totient is φ = 71435584920.

The previous prime is 72492000283. The next prime is 72492000337. The reversal of 72492000319 is 91300029427.

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 72492000319 - 2²⁵ = 72458445887 is a prime.

It is a super-2 number, since 2×72492000319² (a number of 23 digits) 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 (72492001319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 107937 + ... + 395770.

It is an arithmetic number, because the mean of its divisors is an integer number (9193678416).

Almost surely, 2^72492000319 is an apocalyptic number.

72492000319 is the 143917-th nonagonal number.

72492000319 is a deficient number, since it is larger than the sum of its proper divisors (1057427009).

72492000319 is a wasteful number, since it uses less digits than its factorization.

72492000319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505805.

The product of its (nonzero) digits is 27216, while the sum is 37.

The spelling of 72492000319 in words is "seventy-two billion, four hundred ninety-two million, three hundred nineteen", and thus it is an aban number.