1145772 has 36 divisors (see below), whose sum is σ = 2999640. Its totient is φ = 378216.

The previous prime is 1145747. The next prime is 1145773. The reversal of 1145772 is 2775411.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (36).

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 (1145773) 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, 11073 + ... + 11175.

2^1145772 is an apocalyptic number.

1145772 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 1145772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499820).

1145772 is an abundant number, since it is smaller than the sum of its proper divisors (1853868).

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

1145772 is a wasteful number, since it uses less digits than its factorization.

1145772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 108 counting only the distinct ones).

The product of its digits is 1960, while the sum is 27.

The square root of 1145772 is about 1070.4073990776. The cubic root of 1145772 is about 104.6404025319.

Multiplying 1145772 by its sum of digits (27), we get a square (30935844 = 5562²).

1145772 divided by its sum of digits (27) gives a square (42436 = 206²).

It can be divided in two parts, 114 and 5772, that added together give a triangular number (5886 = T₁₀₈).

The spelling of 1145772 in words is "one million, one hundred forty-five thousand, seven hundred seventy-two".