72169344 has 192 divisors, whose sum is σ = 230193600. Its totient is φ = 21565440.

The previous prime is 72169337. The next prime is 72169367. The reversal of 72169344 is 44396127.

72169344 = T₁₃₁₂ + T₁₃₁₃ + ... + T₁₃₉₀.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 72169299 and 72169308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 913497 + ... + 913575.

It is an arithmetic number, because the mean of its divisors is an integer number (1198925).

Almost surely, 2^72169344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72169344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115096800).

72169344 is an abundant number, since it is smaller than the sum of its proper divisors (158024256).

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

72169344 is a wasteful number, since it uses less digits than its factorization.

72169344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 158 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 72169344 is about 8495.2542045544. The cubic root of 72169344 is about 416.3426663802.

The spelling of 72169344 in words is "seventy-two million, one hundred sixty-nine thousand, three hundred forty-four".