32472124056 has 192 divisors, whose sum is σ = 91322150400. Its totient is φ = 10418284800.

The previous prime is 32472124039. The next prime is 32472124073. The reversal of 32472124056 is 65042127423.

32472124056 is a `hidden beast` number, since 3 + 247 + 2 + 1 + 2 + 405 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (32472124039) and next prime (32472124073).

It is a super-2 number, since 2×32472124056² (a number of 22 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 32472124056.

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, 77130726 + ... + 77131146.

It is an arithmetic number, because the mean of its divisors is an integer number (475636200).

Almost surely, 2^32472124056 is an apocalyptic number.

32472124056 is a gapful number since it is divisible by the number (36) 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 32472124056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45661075200).

32472124056 is an abundant number, since it is smaller than the sum of its proper divisors (58850026344).

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

32472124056 is a wasteful number, since it uses less digits than its factorization.

32472124056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 32472124056 in words is "thirty-two billion, four hundred seventy-two million, one hundred twenty-four thousand, fifty-six".