1137672 has 64 divisors (see below), whose sum is σ = 3312000. Its totient is φ = 361152.

The previous prime is 1137667. The next prime is 1137673. The reversal of 1137672 is 2767311.

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

It is not an unprimeable number, because it can be changed into a prime (1137673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4854 + ... + 5082.

It is an arithmetic number, because the mean of its divisors is an integer number (51750).

2^1137672 is an apocalyptic number.

1137672 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 1137672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1656000).

1137672 is an abundant number, since it is smaller than the sum of its proper divisors (2174328).

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

1137672 is a wasteful number, since it uses less digits than its factorization.

1137672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 257 counting only the distinct ones).

The product of its digits is 1764, while the sum is 27.

The square root of 1137672 is about 1066.6170821809. The cubic root of 1137672 is about 104.3932351278.

The spelling of 1137672 in words is "one million, one hundred thirty-seven thousand, six hundred seventy-two".