16772364 has 144 divisors (see below), whose sum is σ = 53114880. Its totient is φ = 4354560.

The previous prime is 16772341. The next prime is 16772389. The reversal of 16772364 is 46327761.

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 a nude number because it is divisible by every one of its digits.

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, 148372 + ... + 148484.

Almost surely, 2^16772364 is an apocalyptic number.

16772364 is a gapful number since it is divisible by the number (14) 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 16772364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26557440).

16772364 is an abundant number, since it is smaller than the sum of its proper divisors (36342516).

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

16772364 is a wasteful number, since it uses less digits than its factorization.

16772364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 175 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 16772364 is about 4095.4076720151. The cubic root of 16772364 is about 255.9753190724.

The spelling of 16772364 in words is "sixteen million, seven hundred seventy-two thousand, three hundred sixty-four".