72528896000 has 448 divisors, whose sum is σ = 203151297024. Its totient is φ = 25624576000.

The previous prime is 72528895997. The next prime is 72528896029. The reversal of 72528896000 is 69882527.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 529407932 + ... + 529408068.

Almost surely, 2^72528896000 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 72528896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101575648512).

72528896000 is an abundant number, since it is smaller than the sum of its proper divisors (130622401024).

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

72528896000 is a wasteful number, since it uses less digits than its factorization.

72528896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 47.

The spelling of 72528896000 in words is "seventy-two billion, five hundred twenty-eight million, eight hundred ninety-six thousand".