72361365480 has 192 divisors, whose sum is σ = 247804128000. Its totient is φ = 18262153728.

The previous prime is 72361365467. The next prime is 72361365481. The reversal of 72361365480 is 8456316327.

72361365480 is a `hidden beast` number, since 7 + 2 + 36 + 136 + 5 + 480 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (72361365481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7471281 + ... + 7480959.

It is an arithmetic number, because the mean of its divisors is an integer number (1290646500).

Almost surely, 2^72361365480 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 72361365480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123902064000).

72361365480 is an abundant number, since it is smaller than the sum of its proper divisors (175442762520).

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

72361365480 is a wasteful number, since it uses less digits than its factorization.

72361365480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10808 (or 10801 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 72361365480 in words is "seventy-two billion, three hundred sixty-one million, three hundred sixty-five thousand, four hundred eighty".