10772190 has 192 divisors, whose sum is σ = 35223552. Its totient is φ = 2332800.

The previous prime is 10772171. The next prime is 10772207. The reversal of 10772190 is 9127701.

It is a super-2 number, since 2×10772190² = 232080154792200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 347475 + ... + 347505.

It is an arithmetic number, because the mean of its divisors is an integer number (183456).

It is a vampire number, since it can be written as 1170 ⋅ 9207 (with its own digits).

Almost surely, 2^10772190 is an apocalyptic number.

10772190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10772190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17611776).

10772190 is an abundant number, since it is smaller than the sum of its proper divisors (24451362).

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

10772190 is a wasteful number, since it uses less digits than its factorization.

10772190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 27.

The square root of 10772190 is about 3282.1014609546. The cubic root of 10772190 is about 220.8519992133.

Adding to 10772190 its reverse (9127701), we get a palindrome (19899891).

The spelling of 10772190 in words is "ten million, seven hundred seventy-two thousand, one hundred ninety".