1572000 has 96 divisors (see below), whose sum is σ = 5189184. Its totient is φ = 416000.

The previous prime is 1571989. The next prime is 1572017. The reversal of 1572000 is 2751.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (15) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 11935 + ... + 12065.

It is an arithmetic number, because the mean of its divisors is an integer number (54054).

2^1572000 is an apocalyptic number.

1572000 is a gapful number since it is divisible by the number (10) 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 1572000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2594592).

1572000 is an abundant number, since it is smaller than the sum of its proper divisors (3617184).

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

1572000 is a wasteful number, since it uses less digits than its factorization.

1572000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 1572000 is about 1253.7942414926. The cubic root of 1572000 is about 116.2744196590.

Adding to 1572000 its reverse (2751), we get a palindrome (1574751).

The spelling of 1572000 in words is "one million, five hundred seventy-two thousand".