72463132080 has 240 divisors, whose sum is σ = 255882122496. Its totient is φ = 18341706240.

The previous prime is 72463132069. The next prime is 72463132129. The reversal of 72463132080 is 8023136427.

It is a happy number.

72463132080 is a `hidden beast` number, since 7 + 246 + 313 + 20 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2152659 + ... + 2186061.

Almost surely, 2^72463132080 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 72463132080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127941061248).

72463132080 is an abundant number, since it is smaller than the sum of its proper divisors (183418990416).

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

72463132080 is a wasteful number, since it uses less digits than its factorization.

72463132080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33576 (or 33567 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 72463132080 in words is "seventy-two billion, four hundred sixty-three million, one hundred thirty-two thousand, eighty".