72091814329000 has 64 divisors (see below), whose sum is σ = 168913081293840. Its totient is φ = 28799420473600.

The previous prime is 72091814328949. The next prime is 72091814329001. The reversal of 72091814329000 is 92341819027.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 4539294435844 + 67552519893156 = 2130562^2 + 8219034^2 .

It is not an unprimeable number, because it can be changed into a prime (72091814329001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45858187 + ... + 47404186.

Almost surely, 2^{72091814329000} is an apocalyptic number.

It is an amenable number.

72091814329000 is an abundant number, since it is smaller than the sum of its proper divisors (96821266964840).

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

72091814329000 is a wasteful number, since it uses less digits than its factorization.

72091814329000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93263167 (or 93263153 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 46.

The spelling of 72091814329000 in words is "seventy-two trillion, ninety-one billion, eight hundred fourteen million, three hundred twenty-nine thousand".