72811629000 has 1920 divisors, whose sum is σ = 325361836800. Its totient is φ = 15054336000.

The previous prime is 72811628963. The next prime is 72811629029. The reversal of 72811629000 is 92611827.

72811629000 is a `hidden beast` number, since 7 + 28 + 1 + 1 + 629 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 3165722989 + ... + 3165723011.

It is an arithmetic number, because the mean of its divisors is an integer number (169459290).

Almost surely, 2^72811629000 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 72811629000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162680918400).

72811629000 is an abundant number, since it is smaller than the sum of its proper divisors (252550207800).

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

72811629000 is a wasteful number, since it uses less digits than its factorization.

72811629000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 72811629000 in words is "seventy-two billion, eight hundred eleven million, six hundred twenty-nine thousand".