72171072 has 84 divisors (see below), whose sum is σ = 208976976. Its totient is φ = 23811840.

The previous prime is 72171061. The next prime is 72171083. The reversal of 72171072 is 27017127.

It is an interprime number because it is at equal distance from previous prime (72171061) and next prime (72171083).

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 11 ways as a sum of consecutive naturals, for example, 61047 + ... + 62217.

Almost surely, 2^72171072 is an apocalyptic number.

72171072 is a gapful number since it is divisible by the number (72) 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 72171072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104488488).

72171072 is an abundant number, since it is smaller than the sum of its proper divisors (136805904).

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

72171072 is a wasteful number, since it uses less digits than its factorization.

72171072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 1372, while the sum is 27.

The square root of 72171072 is about 8495.3559077887. The cubic root of 72171072 is about 416.3459892795.

Adding to 72171072 its reverse (27017127), we get a palindrome (99188199).

The spelling of 72171072 in words is "seventy-two million, one hundred seventy-one thousand, seventy-two".