10173072 has 160 divisors (see below), whose sum is σ = 34497792. Its totient is φ = 2506752.

The previous prime is 10173071. The next prime is 10173073. The reversal of 10173072 is 27037101.

It is an interprime number because it is at equal distance from previous prime (10173071) and next prime (10173073).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (10173071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74188 + ... + 74324.

Almost surely, 2^10173072 is an apocalyptic number.

10173072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10173072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17248896).

10173072 is an abundant number, since it is smaller than the sum of its proper divisors (24324720).

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

10173072 is a wasteful number, since it uses less digits than its factorization.

10173072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 294, while the sum is 21.

The square root of 10173072 is about 3189.5253565382. The cubic root of 10173072 is about 216.6792744800.

The spelling of 10173072 in words is "ten million, one hundred seventy-three thousand, seventy-two".