905306072 has 64 divisors (see below), whose sum is σ = 1956614400. Its totient is φ = 388368000.

The previous prime is 905306029. The next prime is 905306093. The reversal of 905306072 is 270603509.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 519122 + ... + 520862.

It is an arithmetic number, because the mean of its divisors is an integer number (30572100).

Almost surely, 2^905306072 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 905306072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978307200).

905306072 is an abundant number, since it is smaller than the sum of its proper divisors (1051308328).

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

905306072 is a wasteful number, since it uses less digits than its factorization.

905306072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2088 (or 2084 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 32.

The square root of 905306072 is about 30088.3045717103. The cubic root of 905306072 is about 967.3830591767.

The spelling of 905306072 in words is "nine hundred five million, three hundred six thousand, seventy-two".