1965072 has 20 divisors (see below), whose sum is σ = 5076560. Its totient is φ = 655008.

The previous prime is 1964987. The next prime is 1965077. The reversal of 1965072 is 2705691.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (1965077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20422 + ... + 20517.

It is an arithmetic number, because the mean of its divisors is an integer number (253828).

2^1965072 is an apocalyptic number.

1965072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1965072 is an abundant number, since it is smaller than the sum of its proper divisors (3111488).

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

1965072 is a wasteful number, since it uses less digits than its factorization.

1965072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40950 (or 40944 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 1965072 is about 1401.8102582019. The cubic root of 1965072 is about 125.2543514251.

The spelling of 1965072 in words is "one million, nine hundred sixty-five thousand, seventy-two".