16452972 has 72 divisors (see below), whose sum is σ = 43479072. Its totient is φ = 5241600.

The previous prime is 16452967. The next prime is 16452973. The reversal of 16452972 is 27925461.

16452972 is a `hidden beast` number, since 1 + 64 + 529 + 72 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (16452973) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104718 + ... + 104874.

It is an arithmetic number, because the mean of its divisors is an integer number (603876).

Almost surely, 2^16452972 is an apocalyptic number.

16452972 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 16452972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21739536).

16452972 is an abundant number, since it is smaller than the sum of its proper divisors (27026100).

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

16452972 is a wasteful number, since it uses less digits than its factorization.

16452972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 274 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 16452972 is about 4056.2263250465. The cubic root of 16452972 is about 254.3400698394.

It can be divided in two parts, 16452 and 972, that added together give a square (17424 = 132²).

The spelling of 16452972 in words is "sixteen million, four hundred fifty-two thousand, nine hundred seventy-two".