10772160 has 168 divisors, whose sum is σ = 39959280. Its totient is φ = 2451456.

The previous prime is 10772149. The next prime is 10772171. The reversal of 10772160 is 6127701.

It is an interprime number because it is at equal distance from previous prime (10772149) and next prime (10772171).

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a self number, because there is not a number n which added to its sum of digits gives 10772160.

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, 46926 + ... + 47154.

Almost surely, 2^10772160 is an apocalyptic number.

10772160 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 10772160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19979640).

10772160 is an abundant number, since it is smaller than the sum of its proper divisors (29187120).

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

10772160 is a wasteful number, since it uses less digits than its factorization.

10772160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 24.

The square root of 10772160 is about 3282.0968907087. The cubic root of 10772160 is about 220.8517941926.

Adding to 10772160 its reverse (6127701), we get a palindrome (16899861).

The spelling of 10772160 in words is "ten million, seven hundred seventy-two thousand, one hundred sixty".