11902752 has 72 divisors (see below), whose sum is σ = 34794396. Its totient is φ = 3856896.

The previous prime is 11902739. The next prime is 11902757. The reversal of 11902752 is 25720911.

11902752 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 can be written as a sum of positive squares in 2 ways, for example, as 11861136 + 41616 = 3444^2 + 204^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (11902757) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10098 + ... + 11214.

Almost surely, 2^11902752 is an apocalyptic number.

11902752 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 11902752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17397198).

11902752 is an abundant number, since it is smaller than the sum of its proper divisors (22891644).

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

11902752 is a wasteful number, since it uses less digits than its factorization.

11902752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170 (or 1159 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 11902752 is about 3450.0365215458. The cubic root of 11902752 is about 228.3227193579.

The spelling of 11902752 in words is "eleven million, nine hundred two thousand, seven hundred fifty-two".