72265138560 has 192 divisors, whose sum is σ = 252548740080. Its totient is φ = 19038400512.

The previous prime is 72265138559. The next prime is 72265138567. The reversal of 72265138560 is 6583156227.

72265138560 is a `hidden beast` number, since 7 + 2 + 2 + 6 + 51 + 38 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 (72265138567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 402502 + ... + 553658.

Almost surely, 2^72265138560 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 72265138560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126274370040).

72265138560 is an abundant number, since it is smaller than the sum of its proper divisors (180283601520).

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

72265138560 is a wasteful number, since it uses less digits than its factorization.

72265138560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151265 (or 151250 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 72265138560 in words is "seventy-two billion, two hundred sixty-five million, one hundred thirty-eight thousand, five hundred sixty".