20078172 has 96 divisors (see below), whose sum is σ = 55641600. Its totient is φ = 6247296.

The previous prime is 20078167. The next prime is 20078183. The reversal of 20078172 is 27187002.

It is a super-3 number, since 3×20078172³ (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146488 + ... + 146624.

It is an arithmetic number, because the mean of its divisors is an integer number (579600).

Almost surely, 2^20078172 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20078172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27820800).

20078172 is an abundant number, since it is smaller than the sum of its proper divisors (35563428).

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

20078172 is a wasteful number, since it uses less digits than its factorization.

20078172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 20078172 is about 4480.8673267572. The cubic root of 20078172 is about 271.7949543187.

The spelling of 20078172 in words is "twenty million, seventy-eight thousand, one hundred seventy-two".