72545204160 has 1344 divisors, whose sum is σ = 315267563520. Its totient is φ = 15049359360.

The previous prime is 72545204159. The next prime is 72545204189. The reversal of 72545204160 is 6140254527.

It is a happy number.

72545204160 is a `hidden beast` number, since 72 + 5 + 4 + 520 + 4 + 1 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 571222017 + ... + 571222143.

It is an arithmetic number, because the mean of its divisors is an integer number (234574080).

Almost surely, 2^72545204160 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 72545204160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157633781760).

72545204160 is an abundant number, since it is smaller than the sum of its proper divisors (242722359360).

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

72545204160 is a wasteful number, since it uses less digits than its factorization.

72545204160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

Adding to 72545204160 its reverse (6140254527), we get a palindrome (78685458687).

The spelling of 72545204160 in words is "seventy-two billion, five hundred forty-five million, two hundred four thousand, one hundred sixty".