72172152 has 96 divisors (see below), whose sum is σ = 213267600. Its totient is φ = 21915648.

The previous prime is 72172141. The next prime is 72172169. The reversal of 72172152 is 25127127.

It is a super-2 number, since 2×72172152² = 10417639048622208, which contains 22 as substring.

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, 77224 + ... + 78152.

Almost surely, 2^72172152 is an apocalyptic number.

72172152 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 72172152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106633800).

72172152 is an abundant number, since it is smaller than the sum of its proper divisors (141095448).

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

72172152 is a wasteful number, since it uses less digits than its factorization.

72172152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037 (or 1030 counting only the distinct ones).

The product of its digits is 1960, while the sum is 27.

The square root of 72172152 is about 8495.4194716918. The cubic root of 72172152 is about 416.3480660646.

Adding to 72172152 its reverse (25127127), we get a palindrome (97299279).

The spelling of 72172152 in words is "seventy-two million, one hundred seventy-two thousand, one hundred fifty-two".