16072938 has 64 divisors (see below), whose sum is σ = 41322240. Its totient is φ = 4536000.

The previous prime is 16072933. The next prime is 16072961. The reversal of 16072938 is 83927061.

16072938 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16072933) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37968 + ... + 38388.

It is an arithmetic number, because the mean of its divisors is an integer number (645660).

Almost surely, 2^16072938 is an apocalyptic number.

16072938 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16072938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20661120).

16072938 is an abundant number, since it is smaller than the sum of its proper divisors (25249302).

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

16072938 is a wasteful number, since it uses less digits than its factorization.

16072938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 16072938 is about 4009.1068830851. The cubic root of 16072938 is about 252.3665301212.

Adding to 16072938 its reverse (83927061), we get a palindrome (99999999).

The spelling of 16072938 in words is "sixteen million, seventy-two thousand, nine hundred thirty-eight".