526752072 has 512 divisors, whose sum is σ = 2040422400. Its totient is φ = 123171840.

The previous prime is 526752047. The next prime is 526752073. The reversal of 526752072 is 270257625.

526752072 is a `hidden beast` number, since 5 + 2 + 67 + 520 + 72 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (526752073) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22902253 + ... + 22902275.

It is an arithmetic number, because the mean of its divisors is an integer number (3985200).

Almost surely, 2^526752072 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 526752072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020211200).

526752072 is an abundant number, since it is smaller than the sum of its proper divisors (1513670328).

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

526752072 is a wasteful number, since it uses less digits than its factorization.

526752072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 526752072 is about 22951.0799745894. The cubic root of 526752072 is about 807.6107370810.

The spelling of 526752072 in words is "five hundred twenty-six million, seven hundred fifty-two thousand, seventy-two".