72581281949 has 8 divisors (see below), whose sum is σ = 83346926880. Its totient is φ = 62510194800.

The previous prime is 72581281919. The next prime is 72581282017. The reversal of 72581281949 is 94918218527.

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 72581281949 - 2²⁸ = 72312846493 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72581281894 and 72581281903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72581281919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 173639222 + ... + 173639639.

It is an arithmetic number, because the mean of its divisors is an integer number (10418365860).

Almost surely, 2^72581281949 is an apocalyptic number.

It is an amenable number.

72581281949 is a deficient number, since it is larger than the sum of its proper divisors (10765644931).

72581281949 is a wasteful number, since it uses less digits than its factorization.

72581281949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347278891.

The product of its digits is 2903040, while the sum is 56.

The spelling of 72581281949 in words is "seventy-two billion, five hundred eighty-one million, two hundred eighty-one thousand, nine hundred forty-nine".