72991476000 has 384 divisors, whose sum is σ = 266488185600. Its totient is φ = 19405900800.

The previous prime is 72991475987. The next prime is 72991476017. The reversal of 72991476000 is 67419927.

72991476000 is a `hidden beast` number, since 7 + 29 + 9 + 14 + 7 + 600 + 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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45251194 + ... + 45252806.

It is an arithmetic number, because the mean of its divisors is an integer number (693979650).

Almost surely, 2^72991476000 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 72991476000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133244092800).

72991476000 is an abundant number, since it is smaller than the sum of its proper divisors (193496709600).

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

72991476000 is a wasteful number, since it uses less digits than its factorization.

72991476000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2066 (or 2042 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 72991476000 in words is "seventy-two billion, nine hundred ninety-one million, four hundred seventy-six thousand".