72741623513 has 8 divisors (see below), whose sum is σ = 78339566088. Its totient is φ = 67144028544.

The previous prime is 72741623477. The next prime is 72741623531. The reversal of 72741623513 is 31532614727.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 387617344 + 72354006169 = 19688^2 + 268987^2 .

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 72741623513 - 2²⁸ = 72473188057 is a prime.

It is a super-2 number, since 2×72741623513² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72741623543) 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, 489245 + ... + 620357.

It is an arithmetic number, because the mean of its divisors is an integer number (9792445761).

Almost surely, 2^72741623513 is an apocalyptic number.

It is an amenable number.

72741623513 is a deficient number, since it is larger than the sum of its proper divisors (5597942575).

72741623513 is a wasteful number, since it uses less digits than its factorization.

72741623513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173803.

The product of its digits is 211680, while the sum is 41.

The spelling of 72741623513 in words is "seventy-two billion, seven hundred forty-one million, six hundred twenty-three thousand, five hundred thirteen".