72162552 has 128 divisors (see below), whose sum is σ = 238256640. Its totient is φ = 17633280.

The previous prime is 72162547. The next prime is 72162593. The reversal of 72162552 is 25526127.

It is a super-2 number, since 2×72162552² = 10414867822305408, 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 (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30268 + ... + 32564.

It is an arithmetic number, because the mean of its divisors is an integer number (1861380).

Almost surely, 2^72162552 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 72162552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119128320).

72162552 is an abundant number, since it is smaller than the sum of its proper divisors (166094088).

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

72162552 is a wasteful number, since it uses less digits than its factorization.

72162552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2341 (or 2337 counting only the distinct ones).

The product of its digits is 8400, while the sum is 30.

The square root of 72162552 is about 8494.8544425434. The cubic root of 72162552 is about 416.3296050260.

Adding to 72162552 its reverse (25526127), we get a palindrome (97688679).

The spelling of 72162552 in words is "seventy-two million, one hundred sixty-two thousand, five hundred fifty-two".