10572000 has 96 divisors (see below), whose sum is σ = 34673184. Its totient is φ = 2816000.

The previous prime is 10571993. The next prime is 10572007. The reversal of 10572000 is 27501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10571993) and next prime (10572007).

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

It is a super-2 number, since 2×10572000² = 223534368000000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10572007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11560 + ... + 12440.

It is an arithmetic number, because the mean of its divisors is an integer number (361179).

Almost surely, 2^10572000 is an apocalyptic number.

10572000 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 10572000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17336592).

10572000 is an abundant number, since it is smaller than the sum of its proper divisors (24101184).

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

10572000 is an equidigital number, since it uses as much as digits as its factorization.

10572000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909 (or 891 counting only the distinct ones).

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

The square root of 10572000 is about 3251.4612099793. The cubic root of 10572000 is about 219.4753337683.

Adding to 10572000 its reverse (27501), we get a palindrome (10599501).

The spelling of 10572000 in words is "ten million, five hundred seventy-two thousand".