1951872 has 128 divisors (see below), whose sum is σ = 6168960. Its totient is φ = 540672.

The previous prime is 1951871. The next prime is 1951879. The reversal of 1951872 is 2781591.

It is a tau number, because it is divible by the number of its divisors (128).

Its product of digits (5040) is a multiple of the sum of its prime factors (70).

It is not an unprimeable number, because it can be changed into a prime (1951871) 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, 84853 + ... + 84875.

It is an arithmetic number, because the mean of its divisors is an integer number (48195).

2^1951872 is an apocalyptic number.

1951872 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 1951872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3084480).

1951872 is an abundant number, since it is smaller than the sum of its proper divisors (4217088).

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

1951872 is a wasteful number, since it uses less digits than its factorization.

1951872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 58 counting only the distinct ones).

The product of its digits is 5040, while the sum is 33.

The square root of 1951872 is about 1397.0941271081. The cubic root of 1951872 is about 124.9732636151.

The spelling of 1951872 in words is "one million, nine hundred fifty-one thousand, eight hundred seventy-two".