72625806420480 has 1440 divisors, whose sum is σ = 268669518264576. Its totient is φ = 18818220589056.

The previous prime is 72625806420467. The next prime is 72625806420589. The reversal of 72625806420480 is 8402460852627.

72625806420480 is a `hidden beast` number, since 7 + 2 + 6 + 2 + 5 + 80 + 64 + 20 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 155515645207 + ... + 155515645673.

Almost surely, 2^{72625806420480} 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 72625806420480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134334759132288).

72625806420480 is an abundant number, since it is smaller than the sum of its proper divisors (196043711844096).

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

72625806420480 is an frugal number, since it uses more digits than its factorization.

72625806420480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 72625806420480 in words is "seventy-two trillion, six hundred twenty-five billion, eight hundred six million, four hundred twenty thousand, four hundred eighty".