152728065 has 64 divisors (see below), whose sum is σ = 321062400. Its totient is φ = 67398912.

The previous prime is 152728039. The next prime is 152728067. The reversal of 152728065 is 560827251.

It is a happy number.

It is not a de Polignac number, because 152728065 - 2⁶ = 152728001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (152728067) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24619 + ... + 30191.

It is an arithmetic number, because the mean of its divisors is an integer number (5016600).

Almost surely, 2^152728065 is an apocalyptic number.

152728065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

152728065 is an abundant number, since it is smaller than the sum of its proper divisors (168334335).

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

152728065 is a wasteful number, since it uses less digits than its factorization.

152728065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5623 (or 5617 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 152728065 is about 12358.3196673334. The cubic root of 152728065 is about 534.5310649121.

It can be divided in two parts, 1527 and 28065, that added together give a palindrome (29592).

The spelling of 152728065 in words is "one hundred fifty-two million, seven hundred twenty-eight thousand, sixty-five".