72150793560 has 192 divisors, whose sum is σ = 239230817280. Its totient is φ = 18854519040.

The previous prime is 72150793537. The next prime is 72150793567. The reversal of 72150793560 is 6539705127.

72150793560 is a `hidden beast` number, since 7 + 2 + 1 + 507 + 93 + 56 + 0 = 666.

It is a super-2 number, since 2×72150793560² (a number of 23 digits) contains 22 as substring.

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 (72150793567) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 4260069 + ... + 4276971.

It is an arithmetic number, because the mean of its divisors is an integer number (1245993840).

Almost surely, 2^72150793560 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 72150793560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119615408640).

72150793560 is an abundant number, since it is smaller than the sum of its proper divisors (167080023720).

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

72150793560 is a wasteful number, since it uses less digits than its factorization.

72150793560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17158 (or 17151 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The spelling of 72150793560 in words is "seventy-two billion, one hundred fifty million, seven hundred ninety-three thousand, five hundred sixty".