105072720 has 80 divisors (see below), whose sum is σ = 326711232. Its totient is φ = 27934720.

The previous prime is 105072719. The next prime is 105072727. The reversal of 105072720 is 27270501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×105072720² = 22080552976396800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105072727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153499 + ... + 154181.

Almost surely, 2^105072720 is an apocalyptic number.

105072720 is a gapful number since it is divisible by the number (10) 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 105072720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163355616).

105072720 is an abundant number, since it is smaller than the sum of its proper divisors (221638512).

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

105072720 is a wasteful number, since it uses less digits than its factorization.

105072720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 24.

The square root of 105072720 is about 10250.4985244621. The cubic root of 105072720 is about 471.8782842337.

The spelling of 105072720 in words is "one hundred five million, seventy-two thousand, seven hundred twenty".