72630950400 has 720 divisors, whose sum is σ = 283970887200. Its totient is φ = 18333941760.

The previous prime is 72630950347. The next prime is 72630950417. The reversal of 72630950400 is 405903627.

It is a tau number, because it is divible by the number of its divisors (720).

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 71 ways as a sum of consecutive naturals, for example, 59096986 + ... + 59098214.

It is an arithmetic number, because the mean of its divisors is an integer number (394404010).

Almost surely, 2^72630950400 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 72630950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141985443600).

72630950400 is an abundant number, since it is smaller than the sum of its proper divisors (211339936800).

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

72630950400 is a wasteful number, since it uses less digits than its factorization.

72630950400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1291 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 72630950400 in words is "seventy-two billion, six hundred thirty million, nine hundred fifty thousand, four hundred".