1872792 has 72 divisors (see below), whose sum is σ = 5487300. Its totient is φ = 575424.

The previous prime is 1872769. The next prime is 1872799. The reversal of 1872792 is 2972781.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 1 + 8² + 7³ + 2⁸ + 7⁷ + 9 + 2²⁰ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1872799) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 50598 + ... + 50634.

2^1872792 is an apocalyptic number.

1872792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is a pronic number, being equal to 1368×1369.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1872792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2743650).

1872792 is an abundant number, since it is smaller than the sum of its proper divisors (3614508).

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

1872792 is a wasteful number, since it uses less digits than its factorization.

1872792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 61 counting only the distinct ones).

The product of its digits is 14112, while the sum is 36.

The square root of 1872792 is about 1368.4999086591. The cubic root of 1872792 is about 123.2621811818.

The spelling of 1872792 in words is "one million, eight hundred seventy-two thousand, seven hundred ninety-two".