10352720 has 120 divisors (see below), whose sum is σ = 29685600. Its totient is φ = 3338496.

The previous prime is 10352717. The next prime is 10352761. The reversal of 10352720 is 2725301.

10352720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10352720² = 214357622796800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10352692 and 10352701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74411 + ... + 74549.

It is an arithmetic number, because the mean of its divisors is an integer number (247380).

Almost surely, 2^10352720 is an apocalyptic number.

10352720 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 10352720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14842800).

10352720 is an abundant number, since it is smaller than the sum of its proper divisors (19332880).

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

10352720 is a wasteful number, since it uses less digits than its factorization.

10352720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 10352720 is about 3217.5642961719. The cubic root of 10352720 is about 217.9472980927.

It can be divided in two parts, 103 and 52720, that multiplied together give a triangular number (5430160 = T₃₂₉₅).

The spelling of 10352720 in words is "ten million, three hundred fifty-two thousand, seven hundred twenty".