10089072 has 60 divisors (see below), whose sum is σ = 32272240. Its totient is φ = 2882304.

The previous prime is 10089017. The next prime is 10089073. The reversal of 10089072 is 27098001.

10089072 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

10089072 is a modest number, since divided by 9072 gives 1008 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10089073) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3997 + ... + 6012.

Almost surely, 2^10089072 is an apocalyptic number.

10089072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10089072 is an abundant number, since it is smaller than the sum of its proper divisors (22183168).

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

10089072 is a wasteful number, since it uses less digits than its factorization.

10089072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10030 (or 10021 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 10089072 is about 3176.3299576713. The cubic root of 10089072 is about 216.0812451572.

It can be divided in two parts, 1008 and 9072, that multiplied together give a square (9144576 = 3024²).

The spelling of 10089072 in words is "ten million, eighty-nine thousand, seventy-two".