16072000 has 168 divisors, whose sum is σ = 47429928. Its totient is φ = 5376000.

The previous prime is 16071989. The next prime is 16072019. The reversal of 16072000 is 27061.

16072000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3625216 + 12446784 = 1904^2 + 3528^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 391980 + ... + 392020.

It is an arithmetic number, because the mean of its divisors is an integer number (282321).

Almost surely, 2^16072000 is an apocalyptic number.

16072000 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 16072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23714964).

16072000 is an abundant number, since it is smaller than the sum of its proper divisors (31357928).

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

16072000 is an equidigital number, since it uses as much as digits as its factorization.

16072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 16072000 is about 4008.9898977174. The cubic root of 16072000 is about 252.3616207426.

Adding to 16072000 its reverse (27061), we get a palindrome (16099061).

The spelling of 16072000 in words is "sixteen million, seventy-two thousand".