72466505496 has 192 divisors, whose sum is σ = 253755290880. Its totient is φ = 18822430080.

The previous prime is 72466505491. The next prime is 72466505593. The reversal of 72466505496 is 69450566427.

72466505496 is a `hidden beast` number, since 7 + 2 + 46 + 6 + 50 + 549 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72466505491) 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, 92371 + ... + 391746.

It is an arithmetic number, because the mean of its divisors is an integer number (1321642140).

Almost surely, 2^72466505496 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 72466505496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126877645440).

72466505496 is an abundant number, since it is smaller than the sum of its proper divisors (181288785384).

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

72466505496 is a wasteful number, since it uses less digits than its factorization.

72466505496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484156 (or 484140 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 72466505496 in words is "seventy-two billion, four hundred sixty-six million, five hundred five thousand, four hundred ninety-six".