16745952 has 96 divisors (see below), whose sum is σ = 48190464. Its totient is φ = 5068800.

The previous prime is 16745951. The next prime is 16745957. The reversal of 16745952 is 25954761.

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

It is a self number, because there is not a number n which added to its sum of digits gives 16745952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16745951) 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, 50427 + ... + 50757.

It is an arithmetic number, because the mean of its divisors is an integer number (501984).

Almost surely, 2^16745952 is an apocalyptic number.

16745952 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 16745952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24095232).

16745952 is an abundant number, since it is smaller than the sum of its proper divisors (31444512).

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

16745952 is a wasteful number, since it uses less digits than its factorization.

16745952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 384 counting only the distinct ones).

The product of its digits is 75600, while the sum is 39.

The square root of 16745952 is about 4092.1818141427. The cubic root of 16745952 is about 255.8408841956.

It can be divided in two parts, 1674 and 5952, that added together give a triangular number (7626 = T₁₂₃).

The spelling of 16745952 in words is "sixteen million, seven hundred forty-five thousand, nine hundred fifty-two".