1972736 has 20 divisors (see below), whose sum is σ = 3942642. Its totient is φ = 986112.

The previous prime is 1972721. The next prime is 1972739. The reversal of 1972736 is 6372791.

It can be written as a sum of positive squares in only one way, i.e., 1081600 + 891136 = 1040^2 + 944^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1972696 and 1972705.

It is not an unprimeable number, because it can be changed into a prime (1972739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1415 + ... + 2438.

2^1972736 is an apocalyptic number.

1972736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1972736 is a deficient number, since it is larger than the sum of its proper divisors (1969906).

1972736 is an frugal number, since it uses more digits than its factorization.

1972736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3871 (or 3855 counting only the distinct ones).

The product of its digits is 15876, while the sum is 35.

The square root of 1972736 is about 1404.5412062307. The cubic root of 1972736 is about 125.4169755048.

The spelling of 1972736 in words is "one million, nine hundred seventy-two thousand, seven hundred thirty-six".