906075072 has 504 divisors, whose sum is σ = 3320094960. Its totient is φ = 243855360.

The previous prime is 906075013. The next prime is 906075083. The reversal of 906075072 is 270570609.

906075072 is a `hidden beast` number, since 90 + 60 + 7 + 507 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22099372 + ... + 22099412.

It is an arithmetic number, because the mean of its divisors is an integer number (6587490).

Almost surely, 2^906075072 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 906075072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660047480).

906075072 is an abundant number, since it is smaller than the sum of its proper divisors (2414019888).

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

906075072 is a wasteful number, since it uses less digits than its factorization.

906075072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 906075072 is about 30101.0809108244. The cubic root of 906075072 is about 967.6568918093.

The spelling of 906075072 in words is "nine hundred six million, seventy-five thousand, seventy-two".