72416107353 has 8 divisors (see below), whose sum is σ = 99669481216. Its totient is φ = 46720069200.

The previous prime is 72416107339. The next prime is 72416107369. The reversal of 72416107353 is 35370161427.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 72416107353 - 2²⁴ = 72399330137 is a prime.

It is a super-2 number, since 2×72416107353² (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 (72416157353) 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, 389333818 + ... + 389334003.

It is an arithmetic number, because the mean of its divisors is an integer number (12458685152).

Almost surely, 2^72416107353 is an apocalyptic number.

It is an amenable number.

72416107353 is a deficient number, since it is larger than the sum of its proper divisors (27253373863).

72416107353 is a wasteful number, since it uses less digits than its factorization.

72416107353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778667855.

The product of its (nonzero) digits is 105840, while the sum is 39.

The spelling of 72416107353 in words is "seventy-two billion, four hundred sixteen million, one hundred seven thousand, three hundred fifty-three".