11610072 has 48 divisors (see below), whose sum is σ = 31744440. Its totient is φ = 3833088.

The previous prime is 11610059. The next prime is 11610073. The reversal of 11610072 is 27001611.

11610072 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 Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11610073) 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, 7423 + ... + 8849.

Almost surely, 2^11610072 is an apocalyptic number.

11610072 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 11610072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15872220).

11610072 is an abundant number, since it is smaller than the sum of its proper divisors (20134368).

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

11610072 is a wasteful number, since it uses less digits than its factorization.

11610072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1552 (or 1545 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 11610072 is about 3407.3555728747. The cubic root of 11610072 is about 226.4357375109.

Adding to 11610072 its reverse (27001611), we get a palindrome (38611683).

The spelling of 11610072 in words is "eleven million, six hundred ten thousand, seventy-two".