7172928 has 112 divisors (see below), whose sum is σ = 24140160. Its totient is φ = 2045952.

The previous prime is 7172927. The next prime is 7172939. The reversal of 7172928 is 8292717.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 7172892 and 7172901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7172923) 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 15 ways as a sum of consecutive naturals, for example, 11800 + ... + 12392.

Almost surely, 2^7172928 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 7172928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12070080).

7172928 is an abundant number, since it is smaller than the sum of its proper divisors (16967232).

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

7172928 is a wasteful number, since it uses less digits than its factorization.

7172928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 605 counting only the distinct ones).

The product of its digits is 14112, while the sum is 36.

The square root of 7172928 is about 2678.2322528115. The cubic root of 7172928 is about 192.8555569534.

It can be divided in two parts, 7172 and 928, that added together give a square (8100 = 90²).

The spelling of 7172928 in words is "seven million, one hundred seventy-two thousand, nine hundred twenty-eight".