72463362048 has 1152 divisors, whose sum is σ = 283901829120. Its totient is φ = 17915904000.

The previous prime is 72463362029. The next prime is 72463362071. The reversal of 72463362048 is 84026336427.

72463362048 is a `hidden beast` number, since 7 + 2 + 4 + 633 + 6 + 2 + 0 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 72463361994 and 72463362012.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1187923938 + ... + 1187923998.

It is an arithmetic number, because the mean of its divisors is an integer number (246442560).

Almost surely, 2^72463362048 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 72463362048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141950914560).

72463362048 is an abundant number, since it is smaller than the sum of its proper divisors (211438467072).

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

72463362048 is a wasteful number, since it uses less digits than its factorization.

72463362048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 72463362048 in words is "seventy-two billion, four hundred sixty-three million, three hundred sixty-two thousand, forty-eight".