172054944 has 72 divisors (see below), whose sum is σ = 491242752. Its totient is φ = 57121920.

The previous prime is 172054931. The next prime is 172054957. The reversal of 172054944 is 449450271.

It is a happy number.

172054944 is a `hidden beast` number, since 1 + 72 + 0 + 549 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (172054931) and next prime (172054957).

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×172054944³ (a number of 26 digits) contains 333 as substring.

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 = 172054899 and 172054908.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80449 + ... + 82559.

It is an arithmetic number, because the mean of its divisors is an integer number (6822816).

Almost surely, 2^172054944 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 172054944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245621376).

172054944 is an abundant number, since it is smaller than the sum of its proper divisors (319187808).

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

172054944 is a wasteful number, since it uses less digits than its factorization.

172054944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2410 (or 2399 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 172054944 is about 13116.9716017075. The cubic root of 172054944 is about 556.1889873913.

The spelling of 172054944 in words is "one hundred seventy-two million, fifty-four thousand, nine hundred forty-four".