10761972 has 48 divisors (see below), whose sum is σ = 27283200. Its totient is φ = 3282048.

The previous prime is 10761941. The next prime is 10761973. The reversal of 10761972 is 27916701.

10761972 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10761973) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23013 + ... + 23475.

It is an arithmetic number, because the mean of its divisors is an integer number (568400).

Almost surely, 2^10761972 is an apocalyptic number.

10761972 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 10761972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13641600).

10761972 is an abundant number, since it is smaller than the sum of its proper divisors (16521228).

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

10761972 is a wasteful number, since it uses less digits than its factorization.

10761972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 33.

The square root of 10761972 is about 3280.5444670054. The cubic root of 10761972 is about 220.7821471335.

The spelling of 10761972 in words is "ten million, seven hundred sixty-one thousand, nine hundred seventy-two".