72528472800 has 432 divisors, whose sum is σ = 292829820192. Its totient is φ = 16547328000.

The previous prime is 72528472789. The next prime is 72528472823. The reversal of 72528472800 is 827482527.

72528472800 is a `hidden beast` number, since 7 + 2 + 528 + 47 + 2 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 38151850 + ... + 38153750.

It is an arithmetic number, because the mean of its divisors is an integer number (677846806).

Almost surely, 2^72528472800 is an apocalyptic number.

72528472800 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 72528472800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146414910096).

72528472800 is an abundant number, since it is smaller than the sum of its proper divisors (220301347392).

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

72528472800 is a wasteful number, since it uses less digits than its factorization.

72528472800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2691 (or 2675 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The spelling of 72528472800 in words is "seventy-two billion, five hundred twenty-eight million, four hundred seventy-two thousand, eight hundred".