511572072 has 128 divisors (see below), whose sum is σ = 1467279360. Its totient is φ = 147121920.

The previous prime is 511572071. The next prime is 511572107. The reversal of 511572072 is 270275115.

It is not an unprimeable number, because it can be changed into a prime (511572071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1050213 + ... + 1050699.

It is an arithmetic number, because the mean of its divisors is an integer number (11463120).

Almost surely, 2^511572072 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 511572072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733639680).

511572072 is an abundant number, since it is smaller than the sum of its proper divisors (955707288).

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

511572072 is a wasteful number, since it uses less digits than its factorization.

511572072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 4900, while the sum is 30.

The square root of 511572072 is about 22617.9590591194. The cubic root of 511572072 is about 799.7770587106. Note that the first 3 decimals are identical.

The spelling of 511572072 in words is "five hundred eleven million, five hundred seventy-two thousand, seventy-two".