272166405073920 has 2816 divisors, whose sum is σ = 1206501931008000. Its totient is φ = 57953039155200.

The previous prime is 272166405073889. The next prime is 272166405073943. The reversal of 272166405073920 is 29370504661272.

272166405073920 is a `hidden beast` number, since 2 + 7 + 2 + 1 + 6 + 6 + 40 + 507 + 3 + 92 + 0 = 666.

It is a super-2 number, since 2×272166405073920² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 81413819769 + ... + 81413823111.

It is an arithmetic number, because the mean of its divisors is an integer number (428445288000).

Almost surely, 2^{272166405073920} is an apocalyptic number.

272166405073920 is a gapful number since it is divisible by the number (20) 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 272166405073920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603250965504000).

272166405073920 is an abundant number, since it is smaller than the sum of its proper divisors (934335525934080).

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

272166405073920 is a wasteful number, since it uses less digits than its factorization.

272166405073920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3516 (or 3478 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 272166405073920 in words is "two hundred seventy-two trillion, one hundred sixty-six billion, four hundred five million, seventy-three thousand, nine hundred twenty".