18772128 has 48 divisors (see below), whose sum is σ = 54754560. Its totient is φ = 6257088.

The previous prime is 18772121. The next prime is 18772139. The reversal of 18772128 is 82127781.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 18772092 and 18772101.

It is not an unprimeable number, because it can be changed into a prime (18772121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10000 + ... + 11727.

It is an arithmetic number, because the mean of its divisors is an integer number (1140720).

Almost surely, 2^18772128 is an apocalyptic number.

18772128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

18772128 is an abundant number, since it is smaller than the sum of its proper divisors (35982432).

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

18772128 is a wasteful number, since it uses less digits than its factorization.

18772128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21746 (or 21732 counting only the distinct ones).

The product of its digits is 12544, while the sum is 36.

The square root of 18772128 is about 4332.6813868550. The cubic root of 18772128 is about 265.7691101383.

It can be divided in two parts, 1877 and 2128, that added together give a triangular number (4005 = T₈₉).

The spelling of 18772128 in words is "eighteen million, seven hundred seventy-two thousand, one hundred twenty-eight".