152963072 has 48 divisors (see below), whose sum is σ = 322030800. Its totient is φ = 72437760.

The previous prime is 152963047. The next prime is 152963089. The reversal of 152963072 is 270369251.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36947 + ... + 40877.

It is an arithmetic number, because the mean of its divisors is an integer number (6708975).

Almost surely, 2^152963072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152963072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161015400).

152963072 is an abundant number, since it is smaller than the sum of its proper divisors (169067728).

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

152963072 is an equidigital number, since it uses as much as digits as its factorization.

152963072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3972 (or 3952 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 35.

The square root of 152963072 is about 12367.8240608443. The cubic root of 152963072 is about 534.8050904404.

The spelling of 152963072 in words is "one hundred fifty-two million, nine hundred sixty-three thousand, seventy-two".