1578272 has 48 divisors (see below), whose sum is σ = 3370752. Its totient is φ = 725760.

The previous prime is 1578257. The next prime is 1578277. The reversal of 1578272 is 2728751.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a d-powerful number, because it can be written as 1 + 5⁴ + 7³ + 8⁴ + 2¹⁹ + 7³ + 2²⁰ .

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (1578277) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36683 + ... + 36725.

It is an arithmetic number, because the mean of its divisors is an integer number (70224).

2^1578272 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 1578272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1685376).

1578272 is an abundant number, since it is smaller than the sum of its proper divisors (1792480).

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

1578272 is a wasteful number, since it uses less digits than its factorization.

1578272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 113 counting only the distinct ones).

The product of its digits is 7840, while the sum is 32.

The square root of 1578272 is about 1256.2929594645. The cubic root of 1578272 is about 116.4288525289.

It can be divided in two parts, 15 and 78272, that added together give a palindrome (78287).

The spelling of 1578272 in words is "one million, five hundred seventy-eight thousand, two hundred seventy-two".