900072 has 48 divisors (see below), whose sum is σ = 2533440. Its totient is φ = 299376.

The previous prime is 900061. The next prime is 900089. The reversal of 900072 is 270009.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

900072 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 11 ways as a sum of consecutive naturals, for example, 1713 + ... + 2175.

It is an arithmetic number, because the mean of its divisors is an integer number (52780).

2⁹⁰⁰⁰⁷² 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 900072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1266720).

900072 is an abundant number, since it is smaller than the sum of its proper divisors (1633368).

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

900072 is a wasteful number, since it uses less digits than its factorization.

900072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 900072 is about 948.7212446235. The cubic root of 900072 is about 96.5515130303.

It can be divided in two parts, 90007 and 2, that added together give a palindrome (90009).

The spelling of 900072 in words is "nine hundred thousand, seventy-two".