172020672 has 112 divisors (see below), whose sum is σ = 512368800. Its totient is φ = 57293568.

The previous prime is 172020599. The next prime is 172020677. The reversal of 172020672 is 276020271.

It is a super-2 number, since 2×172020672² = 59182223190663168, which contains 22 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 not an unprimeable number, because it can be changed into a prime (172020677) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139354 + ... + 140582.

Almost surely, 2^172020672 is an apocalyptic number.

172020672 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 172020672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256184400).

172020672 is an abundant number, since it is smaller than the sum of its proper divisors (340348128).

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

172020672 is an frugal number, since it uses more digits than its factorization.

172020672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1262 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 172020672 is about 13115.6651375369. The cubic root of 172020672 is about 556.1520554393.

The spelling of 172020672 in words is "one hundred seventy-two million, twenty thousand, six hundred seventy-two".