152827272 has 192 divisors, whose sum is σ = 482227200. Its totient is φ = 43338240.

The previous prime is 152827261. The next prime is 152827277. The reversal of 152827272 is 272728251.

152827272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (152827277) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 667254 + ... + 667482.

It is an arithmetic number, because the mean of its divisors is an integer number (2511600).

Almost surely, 2^152827272 is an apocalyptic number.

152827272 is a gapful number since it is divisible by the number (12) 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 152827272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241113600).

152827272 is an abundant number, since it is smaller than the sum of its proper divisors (329399928).

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

152827272 is a wasteful number, since it uses less digits than its factorization.

152827272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 301 counting only the distinct ones).

The product of its digits is 31360, while the sum is 36.

The square root of 152827272 is about 12362.3327895669. The cubic root of 152827272 is about 534.6467776453.

The spelling of 152827272 in words is "one hundred fifty-two million, eight hundred twenty-seven thousand, two hundred seventy-two".