16242072 has 192 divisors, whose sum is σ = 55157760. Its totient is φ = 3886080.

The previous prime is 16242053. The next prime is 16242097. The reversal of 16242072 is 27024261.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 345553 + ... + 345599.

It is an arithmetic number, because the mean of its divisors is an integer number (287280).

Almost surely, 2^16242072 is an apocalyptic number.

16242072 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 16242072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27578880).

16242072 is an abundant number, since it is smaller than the sum of its proper divisors (38915688).

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

16242072 is a wasteful number, since it uses less digits than its factorization.

16242072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 16242072 is about 4030.1454068061. The cubic root of 16242072 is about 253.2486528301.

The spelling of 16242072 in words is "sixteen million, two hundred forty-two thousand, seventy-two".