11372592 has 160 divisors (see below), whose sum is σ = 38997504. Its totient is φ = 2764800.

The previous prime is 11372591. The next prime is 11372593. The reversal of 11372592 is 29527311.

It is an interprime number because it is at equal distance from previous prime (11372591) and next prime (11372593).

It is a zygodrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (11372591) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62742 + ... + 62922.

Almost surely, 2^11372592 is an apocalyptic number.

11372592 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 11372592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19498752).

11372592 is an abundant number, since it is smaller than the sum of its proper divisors (27624912).

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

11372592 is a wasteful number, since it uses less digits than its factorization.

11372592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 221 counting only the distinct ones).

The product of its digits is 3780, while the sum is 30.

The square root of 11372592 is about 3372.3273862423. The cubic root of 11372592 is about 224.8812014837.

The spelling of 11372592 in words is "eleven million, three hundred seventy-two thousand, five hundred ninety-two".