72543945600 has 1536 divisors, whose sum is σ = 327836160000. Its totient is φ = 15298191360.

The previous prime is 72543945599. The next prime is 72543945601. The reversal of 72543945600 is 654934527.

72543945600 is a `hidden beast` number, since 7 + 2 + 5 + 4 + 39 + 4 + 5 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (72543945599) and next prime (72543945601).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72543945601) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 677980747 + ... + 677980853.

It is an arithmetic number, because the mean of its divisors is an integer number (213435000).

Almost surely, 2^72543945600 is an apocalyptic number.

72543945600 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 72543945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163918080000).

72543945600 is an abundant number, since it is smaller than the sum of its proper divisors (255292214400).

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

72543945600 is a wasteful number, since it uses less digits than its factorization.

72543945600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 72543945600 in words is "seventy-two billion, five hundred forty-three million, nine hundred forty-five thousand, six hundred".