515475072 has 192 divisors, whose sum is σ = 1715313600. Its totient is φ = 145539072.

The previous prime is 515475047. The next prime is 515475109. The reversal of 515475072 is 270574515.

515475072 is a `hidden beast` number, since 515 + 4 + 75 + 0 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 781879 + ... + 782537.

It is an arithmetic number, because the mean of its divisors is an integer number (8933925).

Almost surely, 2^515475072 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 515475072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857656800).

515475072 is an abundant number, since it is smaller than the sum of its proper divisors (1199838528).

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

515475072 is a wasteful number, since it uses less digits than its factorization.

515475072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 49000, while the sum is 36.

The square root of 515475072 is about 22704.0761098090. The cubic root of 515475072 is about 801.8058538808.

The spelling of 515475072 in words is "five hundred fifteen million, four hundred seventy-five thousand, seventy-two".