159264072 has 144 divisors (see below), whose sum is σ = 481457340. Its totient is φ = 47520000.

The previous prime is 159264067. The next prime is 159264073. The reversal of 159264072 is 270462951.

159264072 is a `hidden beast` number, since 1 + 5 + 9 + 2 + 640 + 7 + 2 = 666.

159264072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 158911236 + 352836 = 12606^2 + 594^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (159264073) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 879822 + ... + 880002.

Almost surely, 2^159264072 is an apocalyptic number.

159264072 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 159264072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240728670).

159264072 is an abundant number, since it is smaller than the sum of its proper divisors (322193268).

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

159264072 is a wasteful number, since it uses less digits than its factorization.

159264072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 159264072 is about 12619.9870047477. The cubic root of 159264072 is about 542.0499039484.

The spelling of 159264072 in words is "one hundred fifty-nine million, two hundred sixty-four thousand, seventy-two".