1352792 has 64 divisors (see below), whose sum is σ = 3240000. Its totient is φ = 526848.

The previous prime is 1352783. The next prime is 1352803. The reversal of 1352792 is 2972531.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a nialpdrome in base 11.

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, 46634 + ... + 46662.

It is an arithmetic number, because the mean of its divisors is an integer number (50625).

2^1352792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1352792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1620000).

1352792 is an abundant number, since it is smaller than the sum of its proper divisors (1887208).

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

1352792 is a wasteful number, since it uses less digits than its factorization.

1352792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 55 counting only the distinct ones).

The product of its digits is 3780, while the sum is 29.

The square root of 1352792 is about 1163.0958687916. The cubic root of 1352792 is about 110.5970837238.

The spelling of 1352792 in words is "one million, three hundred fifty-two thousand, seven hundred ninety-two".