152072 has 8 divisors (see below), whose sum is σ = 285150. Its totient is φ = 76032.

The previous prime is 152063. The next prime is 152077. The reversal of 152072 is 270251.

It can be written as a sum of positive squares in only one way, i.e., 106276 + 45796 = 326^2 + 214^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a self number, because there is not a number n which added to its sum of digits gives 152072.

It is not an unprimeable number, because it can be changed into a prime (152077) by changing a digit.

152072 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9497 + ... + 9512.

2¹⁵²⁰⁷² is an apocalyptic number.

It is an amenable number.

152072 is a deficient number, since it is larger than the sum of its proper divisors (133078).

152072 is a wasteful number, since it uses less digits than its factorization.

152072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19015 (or 19011 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 17.

The square root of 152072 is about 389.9641009119. The cubic root of 152072 is about 53.3764581758.

The spelling of 152072 in words is "one hundred fifty-two thousand, seventy-two".