172072784 has 40 divisors (see below), whose sum is σ = 362263272. Its totient is φ = 78704640.

The previous prime is 172072763. The next prime is 172072801. The reversal of 172072784 is 487270271.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 41473600 + 130599184 = 6440^2 + 11428^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19844 + ... + 27164.

Almost surely, 2^172072784 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 172072784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181131636).

172072784 is an abundant number, since it is smaller than the sum of its proper divisors (190190488).

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

172072784 is a wasteful number, since it uses less digits than its factorization.

172072784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7455 (or 7449 counting only the distinct ones).

The product of its (nonzero) digits is 43904, while the sum is 38.

The square root of 172072784 is about 13117.6516190971. The cubic root of 172072784 is about 556.2082100659.

It can be divided in two parts, 17207 and 2784, that added together give a palindrome (19991).

The spelling of 172072784 in words is "one hundred seventy-two million, seventy-two thousand, seven hundred eighty-four".