537105072 has 320 divisors, whose sum is σ = 1821312000. Its totient is φ = 135475200.

The previous prime is 537105013. The next prime is 537105103. The reversal of 537105072 is 270501735.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5317822 + ... + 5317922.

It is an arithmetic number, because the mean of its divisors is an integer number (5691600).

Almost surely, 2^537105072 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 537105072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910656000).

537105072 is an abundant number, since it is smaller than the sum of its proper divisors (1284206928).

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

537105072 is a wasteful number, since it uses less digits than its factorization.

537105072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 7350, while the sum is 30.

The square root of 537105072 is about 23175.5274373638. The cubic root of 537105072 is about 812.8674835340.

The spelling of 537105072 in words is "five hundred thirty-seven million, one hundred five thousand, seventy-two".