72425671830 has 192 divisors, whose sum is σ = 202295983680. Its totient is φ = 18431981568.

The previous prime is 72425671817. The next prime is 72425671847. The reversal of 72425671830 is 3817652427.

72425671830 is a `hidden beast` number, since 7 + 2 + 4 + 2 + 567 + 1 + 83 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19588542 + ... + 19592238.

It is an arithmetic number, because the mean of its divisors is an integer number (1053624915).

Almost surely, 2^72425671830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72425671830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101147991840).

72425671830 is an abundant number, since it is smaller than the sum of its proper divisors (129870311850).

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

72425671830 is a wasteful number, since it uses less digits than its factorization.

72425671830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3840 (or 3797 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 72425671830 in words is "seventy-two billion, four hundred twenty-five million, six hundred seventy-one thousand, eight hundred thirty".