152538072 has 32 divisors (see below), whose sum is σ = 383486400. Its totient is φ = 50560544.

The previous prime is 152538053. The next prime is 152538091. The reversal of 152538072 is 270835251.

152538072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (152538053) and next prime (152538091).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13458 + ... + 22049.

It is an arithmetic number, because the mean of its divisors is an integer number (11983950).

Almost surely, 2^152538072 is an apocalyptic number.

152538072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

152538072 is an abundant number, since it is smaller than the sum of its proper divisors (230948328).

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

152538072 is a wasteful number, since it uses less digits than its factorization.

152538072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35695 (or 35691 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 152538072 is about 12350.6304292534. The cubic root of 152538072 is about 534.3093215542.

The spelling of 152538072 in words is "one hundred fifty-two million, five hundred thirty-eight thousand, seventy-two".