16749072 has 80 divisors (see below), whose sum is σ = 48598080. Its totient is φ = 5522688.

The previous prime is 16749067. The next prime is 16749107. The reversal of 16749072 is 27094761.

It is a happy number.

16749072 is a `hidden beast` number, since 167 + 490 + 7 + 2 = 666.

16749072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×16749072² = 561062825722368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is a nialpdrome in base 16.

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, 59043 + ... + 59325.

It is an arithmetic number, because the mean of its divisors is an integer number (607476).

Almost surely, 2^16749072 is an apocalyptic number.

16749072 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 16749072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24299040).

16749072 is an abundant number, since it is smaller than the sum of its proper divisors (31849008).

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

16749072 is a wasteful number, since it uses less digits than its factorization.

16749072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 16749072 is about 4092.5630111215. The cubic root of 16749072 is about 255.8567720948.

The spelling of 16749072 in words is "sixteen million, seven hundred forty-nine thousand, seventy-two".