72461463732 has 144 divisors (see below), whose sum is σ = 224089628672. Its totient is φ = 20035369440.

The previous prime is 72461463709. The next prime is 72461463757. The reversal of 72461463732 is 23736416427.

72461463732 is a `hidden beast` number, since 7 + 2 + 4 + 6 + 1 + 4 + 637 + 3 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 39153 + ... + 382695.

Almost surely, 2^72461463732 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 72461463732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112044814336).

72461463732 is an abundant number, since it is smaller than the sum of its proper divisors (151628164940).

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

72461463732 is a wasteful number, since it uses less digits than its factorization.

72461463732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343600 (or 343586 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 45.

The spelling of 72461463732 in words is "seventy-two billion, four hundred sixty-one million, four hundred sixty-three thousand, seven hundred thirty-two".