1630272 has 56 divisors (see below), whose sum is σ = 4933696. Its totient is φ = 465408.

The previous prime is 1630261. The next prime is 1630273. The reversal of 1630272 is 2720361.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1630273) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 738 + ... + 1950.

2^1630272 is an apocalyptic number.

1630272 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 1630272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2466848).

1630272 is an abundant number, since it is smaller than the sum of its proper divisors (3303424).

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

1630272 is a wasteful number, since it uses less digits than its factorization.

1630272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1235 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 1630272 is about 1276.8210524580. The cubic root of 1630272 is about 117.6937380255.

The spelling of 1630272 in words is "one million, six hundred thirty thousand, two hundred seventy-two".