72049137000 has 256 divisors, whose sum is σ = 233937849600. Its totient is φ = 18439500800.

The previous prime is 72049136969. The next prime is 72049137011. The reversal of 72049137000 is 73194027.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15048607 + ... + 15053393.

It is an arithmetic number, because the mean of its divisors is an integer number (913819725).

Almost surely, 2^72049137000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72049137000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116968924800).

72049137000 is an abundant number, since it is smaller than the sum of its proper divisors (161888712600).

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

72049137000 is a wasteful number, since it uses less digits than its factorization.

72049137000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5013 (or 4999 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The spelling of 72049137000 in words is "seventy-two billion, forty-nine million, one hundred thirty-seven thousand".