72450075360 has 192 divisors, whose sum is σ = 247024717632. Its totient is φ = 17743036416.

The previous prime is 72450075307. The next prime is 72450075367. The reversal of 72450075360 is 6357005427.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72450075367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1199812 + ... + 1258748.

It is an arithmetic number, because the mean of its divisors is an integer number (1286587071).

Almost surely, 2^72450075360 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 72450075360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123512358816).

72450075360 is an abundant number, since it is smaller than the sum of its proper divisors (174574642272).

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

72450075360 is a wasteful number, since it uses less digits than its factorization.

72450075360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59165 (or 59157 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 39.

The spelling of 72450075360 in words is "seventy-two billion, four hundred fifty million, seventy-five thousand, three hundred sixty".