152710272 has 320 divisors, whose sum is σ = 539098560. Its totient is φ = 42301440.

The previous prime is 152710241. The next prime is 152710291. The reversal of 152710272 is 272017251.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1482573 + ... + 1482675.

It is an arithmetic number, because the mean of its divisors is an integer number (1684683).

Almost surely, 2^152710272 is an apocalyptic number.

152710272 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 152710272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269549280).

152710272 is an abundant number, since it is smaller than the sum of its proper divisors (386388288).

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

152710272 is a wasteful number, since it uses less digits than its factorization.

152710272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 132 counting only the distinct ones).

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

The square root of 152710272 is about 12357.5997669450. The cubic root of 152710272 is about 534.5103062725.

The spelling of 152710272 in words is "one hundred fifty-two million, seven hundred ten thousand, two hundred seventy-two".