1772320 has 96 divisors (see below), whose sum is σ = 4898880. Its totient is φ = 599040.

The previous prime is 1772317. The next prime is 1772327. The reversal of 1772320 is 232771.

It is a super-2 number, since 2×1772320² = 6282236364800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1772291 and 1772300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1772327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33414 + ... + 33466.

It is an arithmetic number, because the mean of its divisors is an integer number (51030).

2^1772320 is an apocalyptic number.

1772320 is a gapful number since it is divisible by the number (10) 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 1772320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2449440).

1772320 is an abundant number, since it is smaller than the sum of its proper divisors (3126560).

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

1772320 is a wasteful number, since it uses less digits than its factorization.

1772320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 22.

The square root of 1772320 is about 1331.2850934342. The cubic root of 1772320 is about 121.0172777732.

The spelling of 1772320 in words is "one million, seven hundred seventy-two thousand, three hundred twenty".