72013455360 has 1344 divisors, whose sum is σ = 323864386560. Its totient is φ = 14368112640.

The previous prime is 72013455347. The next prime is 72013455361. The reversal of 72013455360 is 6355431027.

72013455360 is a `hidden beast` number, since 7 + 201 + 345 + 53 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72013455361) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1220567011 + ... + 1220567069.

Almost surely, 2^72013455360 is an apocalyptic number.

72013455360 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 72013455360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161932193280).

72013455360 is an abundant number, since it is smaller than the sum of its proper divisors (251850931200).

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

72013455360 is a wasteful number, since it uses less digits than its factorization.

72013455360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

Adding to 72013455360 its reverse (6355431027), we get a palindrome (78368886387).

The spelling of 72013455360 in words is "seventy-two billion, thirteen million, four hundred fifty-five thousand, three hundred sixty".