72609849000 has 768 divisors, whose sum is σ = 282102912000. Its totient is φ = 16696627200.

The previous prime is 72609848957. The next prime is 72609849029. The reversal of 72609849000 is 94890627.

It is a happy number.

72609849000 is a `hidden beast` number, since 72 + 6 + 0 + 98 + 490 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 197846817 + ... + 197847183.

It is an arithmetic number, because the mean of its divisors is an integer number (367321500).

Almost surely, 2^72609849000 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 72609849000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141051456000).

72609849000 is an abundant number, since it is smaller than the sum of its proper divisors (209493063000).

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

72609849000 is a wasteful number, since it uses less digits than its factorization.

72609849000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 72609849000 in words is "seventy-two billion, six hundred nine million, eight hundred forty-nine thousand".