1766072 has 64 divisors (see below), whose sum is σ = 4285440. Its totient is φ = 662400.

The previous prime is 1766057. The next prime is 1766087. The reversal of 1766072 is 2706671.

It is an interprime number because it is at equal distance from previous prime (1766057) and next prime (1766087).

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28922 + ... + 28982.

It is an arithmetic number, because the mean of its divisors is an integer number (66960).

2^1766072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1766072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2142720).

1766072 is an abundant number, since it is smaller than the sum of its proper divisors (2519368).

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

1766072 is a wasteful number, since it uses less digits than its factorization.

1766072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 29.

The square root of 1766072 is about 1328.9364168387. The cubic root of 1766072 is about 120.8749020146.

The spelling of 1766072 in words is "one million, seven hundred sixty-six thousand, seventy-two".