72349213094000 has 80 divisors (see below), whose sum is σ = 174953295323040. Its totient is φ = 28937551564800.

The previous prime is 72349213093999. The next prime is 72349213094023. The reversal of 72349213094000 is 49031294327.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×72349213094000³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25939271 + ... + 28592729.

It is an arithmetic number, because the mean of its divisors is an integer number (2186916191538).

Almost surely, 2^{72349213094000} is an apocalyptic number.

It is an amenable number.

72349213094000 is an abundant number, since it is smaller than the sum of its proper divisors (102604082229040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72349213094000 is a wasteful number, since it uses less digits than its factorization.

72349213094000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2667115 (or 2667099 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 44.

The spelling of 72349213094000 in words is "seventy-two trillion, three hundred forty-nine billion, two hundred thirteen million, ninety-four thousand".