72169272 has 128 divisors (see below), whose sum is σ = 233280000. Its totient is φ = 20245248.

The previous prime is 72169249. The next prime is 72169297. The reversal of 72169272 is 27296127.

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

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88804 + ... + 89612.

It is an arithmetic number, because the mean of its divisors is an integer number (1822500).

Almost surely, 2^72169272 is an apocalyptic number.

72169272 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

72169272 is the 4248-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72169272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116640000).

72169272 is an abundant number, since it is smaller than the sum of its proper divisors (161110728).

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

72169272 is a wasteful number, since it uses less digits than its factorization.

72169272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 880 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 72169272 is about 8495.2499668933. The cubic root of 72169272 is about 416.3425279249.

The spelling of 72169272 in words is "seventy-two million, one hundred sixty-nine thousand, two hundred seventy-two".