152765272 has 64 divisors (see below), whose sum is σ = 333849600. Its totient is φ = 64848000.

The previous prime is 152765231. The next prime is 152765273. The reversal of 152765272 is 272567251.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152765273) 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 15 ways as a sum of consecutive naturals, for example, 78147 + ... + 80077.

It is an arithmetic number, because the mean of its divisors is an integer number (5216400).

Almost surely, 2^152765272 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 152765272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166924800).

152765272 is an abundant number, since it is smaller than the sum of its proper divisors (181084328).

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

152765272 is a wasteful number, since it uses less digits than its factorization.

152765272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2008 (or 2004 counting only the distinct ones).

The product of its digits is 58800, while the sum is 37.

The square root of 152765272 is about 12359.8249178538. The cubic root of 152765272 is about 534.5744681607.

The spelling of 152765272 in words is "one hundred fifty-two million, seven hundred sixty-five thousand, two hundred seventy-two".