16407072 has 72 divisors (see below), whose sum is σ = 50909040. Its totient is φ = 4970880.

The previous prime is 16407071. The next prime is 16407101. The reversal of 16407072 is 27070461.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×16407072² = 538384023226368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16407071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 579 + ... + 5757.

It is an arithmetic number, because the mean of its divisors is an integer number (707070).

Almost surely, 2^16407072 is an apocalyptic number.

16407072 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 16407072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25454520).

16407072 is an abundant number, since it is smaller than the sum of its proper divisors (34501968).

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

16407072 is a wasteful number, since it uses less digits than its factorization.

16407072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5206 (or 5195 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 16407072 is about 4050.5644051169. The cubic root of 16407072 is about 254.1033328296.

The spelling of 16407072 in words is "sixteen million, four hundred seven thousand, seventy-two".