72625676760 has 1536 divisors, whose sum is σ = 331817472000. Its totient is φ = 13729554432.

The previous prime is 72625676723. The next prime is 72625676771. The reversal of 72625676760 is 6767652627.

72625676760 is a `hidden beast` number, since 7 + 2 + 6 + 2 + 567 + 6 + 76 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 72625676697 and 72625676706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 816018796 + ... + 816018884.

It is an arithmetic number, because the mean of its divisors is an integer number (216027000).

Almost surely, 2^72625676760 is an apocalyptic number.

72625676760 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72625676760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165908736000).

72625676760 is an abundant number, since it is smaller than the sum of its proper divisors (259191795240).

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

72625676760 is a wasteful number, since it uses less digits than its factorization.

72625676760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

The spelling of 72625676760 in words is "seventy-two billion, six hundred twenty-five million, six hundred seventy-six thousand, seven hundred sixty".