72109968 has 240 divisors, whose sum is σ = 238841856. Its totient is φ = 18627840.

The previous prime is 72109967. The next prime is 72109969. The reversal of 72109968 is 86990127.

It is an interprime number because it is at equal distance from previous prime (72109967) and next prime (72109969).

It is a super-2 number, since 2×72109968² = 10399694969922048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72109963) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1676955 + ... + 1676997.

Almost surely, 2^72109968 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 72109968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119420928).

72109968 is an abundant number, since it is smaller than the sum of its proper divisors (166731888).

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

72109968 is a wasteful number, since it uses less digits than its factorization.

72109968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 72109968 is about 8491.7588284171. The cubic root of 72109968 is about 416.2284556300.

The spelling of 72109968 in words is "seventy-two million, one hundred nine thousand, nine hundred sixty-eight".