72067632000 has 768 divisors, whose sum is σ = 299413558080. Its totient is φ = 15199027200.

The previous prime is 72067631957. The next prime is 72067632001. The reversal of 72067632000 is 23676027.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72067632001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30574822 + ... + 30577178.

Almost surely, 2^72067632000 is an apocalyptic number.

72067632000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72067632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149706779040).

72067632000 is an abundant number, since it is smaller than the sum of its proper divisors (227345926080).

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

72067632000 is a wasteful number, since it uses less digits than its factorization.

72067632000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2416 (or 2387 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 33.

The spelling of 72067632000 in words is "seventy-two billion, sixty-seven million, six hundred thirty-two thousand".