1567872 has 48 divisors (see below), whose sum is σ = 4515030. Its totient is φ = 522240.

The previous prime is 1567847. The next prime is 1567901. The reversal of 1567872 is 2787651.

It can be written as a sum of positive squares in only one way, i.e., 1498176 + 69696 = 1224^2 + 264^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 472 + ... + 1832.

2^1567872 is an apocalyptic number.

1567872 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 1567872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2257515).

1567872 is an abundant number, since it is smaller than the sum of its proper divisors (2947158).

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

1567872 is a wasteful number, since it uses less digits than its factorization.

1567872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1381 (or 1366 counting only the distinct ones).

The product of its digits is 23520, while the sum is 36.

The square root of 1567872 is about 1252.1469562316. The cubic root of 1567872 is about 116.1725533413.

The spelling of 1567872 in words is "one million, five hundred sixty-seven thousand, eight hundred seventy-two".