10355772 has 48 divisors (see below), whose sum is σ = 27885312. Its totient is φ = 2929920.

The previous prime is 10355759. The next prime is 10355783. The reversal of 10355772 is 27755301.

It is a super-3 number, since 3×10355772³ (a number of 22 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8947 + ... + 10037.

It is an arithmetic number, because the mean of its divisors is an integer number (580944).

Almost surely, 2^10355772 is an apocalyptic number.

10355772 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 10355772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13942656).

10355772 is an abundant number, since it is smaller than the sum of its proper divisors (17529540).

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

10355772 is a wasteful number, since it uses less digits than its factorization.

10355772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1218 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 7350, while the sum is 30.

The square root of 10355772 is about 3218.0385330198. The cubic root of 10355772 is about 217.9687130702.

The spelling of 10355772 in words is "ten million, three hundred fifty-five thousand, seven hundred seventy-two".