16167625272 has 160 divisors (see below), whose sum is σ = 46300446720. Its totient is φ = 5269561920.

The previous prime is 16167625261. The next prime is 16167625283. The reversal of 16167625272 is 27252676161.

16167625272 is a `hidden beast` number, since 1 + 6 + 1 + 67 + 62 + 527 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (16167625261) and next prime (16167625283).

It is a super-3 number, since 3×16167625272³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5841633 + ... + 5844399.

It is an arithmetic number, because the mean of its divisors is an integer number (289377792).

Almost surely, 2^16167625272 is an apocalyptic number.

16167625272 is a gapful number since it is divisible by the number (12) 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 16167625272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23150223360).

16167625272 is an abundant number, since it is smaller than the sum of its proper divisors (30132821448).

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

16167625272 is a wasteful number, since it uses less digits than its factorization.

16167625272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2983 (or 2970 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The spelling of 16167625272 in words is "sixteen billion, one hundred sixty-seven million, six hundred twenty-five thousand, two hundred seventy-two".