72421461504 has 640 divisors, whose sum is σ = 256676428800. Its totient is φ = 19725189120.

The previous prime is 72421461503. The next prime is 72421461509. The reversal of 72421461504 is 40516412427.

72421461504 is a `hidden beast` number, since 7 + 2 + 4 + 2 + 146 + 1 + 504 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72421461503) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 367621534 + ... + 367621730.

It is an arithmetic number, because the mean of its divisors is an integer number (401056920).

Almost surely, 2^72421461504 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 72421461504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128338214400).

72421461504 is an abundant number, since it is smaller than the sum of its proper divisors (184254967296).

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

72421461504 is a wasteful number, since it uses less digits than its factorization.

72421461504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 72421461504 in words is "seventy-two billion, four hundred twenty-one million, four hundred sixty-one thousand, five hundred four".