152947872 has 384 divisors, whose sum is σ = 590284800. Its totient is φ = 37635840.

The previous prime is 152947849. The next prime is 152947901. The reversal of 152947872 is 278749251.

It is a happy number.

152947872 is a `hidden beast` number, since 1 + 529 + 47 + 87 + 2 = 666.

Its product of digits (282240) is a multiple of the sum of its prime divisors (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8049879 + ... + 8049897.

It is an arithmetic number, because the mean of its divisors is an integer number (1537200).

Almost surely, 2^152947872 is an apocalyptic number.

152947872 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 152947872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295142400).

152947872 is an abundant number, since it is smaller than the sum of its proper divisors (437336928).

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

152947872 is a wasteful number, since it uses less digits than its factorization.

152947872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 42 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 152947872 is about 12367.2095478325. The cubic root of 152947872 is about 534.7873752569.

The spelling of 152947872 in words is "one hundred fifty-two million, nine hundred forty-seven thousand, eight hundred seventy-two".