1920072 has 64 divisors (see below), whose sum is σ = 5990400. Its totient is φ = 498240.

The previous prime is 1920049. The next prime is 1920089. The reversal of 1920072 is 2700291.

It is a happy number.

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

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, 1329 + ... + 2367.

It is an arithmetic number, because the mean of its divisors is an integer number (93600).

2^1920072 is an apocalyptic number.

1920072 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 1920072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2995200).

1920072 is an abundant number, since it is smaller than the sum of its proper divisors (4070328).

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

1920072 is a wasteful number, since it uses less digits than its factorization.

1920072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 1920072 is about 1385.6666265737. Note that the first 4 decimals coincide. The cubic root of 1920072 is about 124.2908538350.

Subtracting from 1920072 its product of nonzero digits (252), we obtain a triangular number (1919820 = T₁₉₅₉).

The spelling of 1920072 in words is "one million, nine hundred twenty thousand, seventy-two".