11272149 has 64 divisors (see below), whose sum is σ = 20838400. Its totient is φ = 5878656.

The previous prime is 11272123. The next prime is 11272169. The reversal of 11272149 is 94127211.

11272149 is nontrivially palindromic in base 2 and base 8.

It is not a de Polignac number, because 11272149 - 2⁸ = 11271893 is a prime.

It is a super-2 number, since 2×11272149² = 254122686156402, which contains 22 as substring.

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

It is a Duffinian number.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11272169) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 154377 + ... + 154449.

It is an arithmetic number, because the mean of its divisors is an integer number (325600).

Almost surely, 2^11272149 is an apocalyptic number.

11272149 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

11272149 is a deficient number, since it is larger than the sum of its proper divisors (9566251).

11272149 is a wasteful number, since it uses less digits than its factorization.

11272149 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 145 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 11272149 is about 3357.4021206880. The cubic root of 11272149 is about 224.2171907571.

The spelling of 11272149 in words is "eleven million, two hundred seventy-two thousand, one hundred forty-nine".