172074672 has 240 divisors, whose sum is σ = 627638400. Its totient is φ = 44634240.

The previous prime is 172074649. The next prime is 172074673. The reversal of 172074672 is 276470271.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (172074673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 232479 + ... + 233217.

It is an arithmetic number, because the mean of its divisors is an integer number (2615160).

Almost surely, 2^172074672 is an apocalyptic number.

172074672 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 172074672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313819200).

172074672 is an abundant number, since it is smaller than the sum of its proper divisors (455563728).

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

172074672 is a wasteful number, since it uses less digits than its factorization.

172074672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 172074672 is about 13117.7235830002. The cubic root of 172074672 is about 556.2102443160.

The spelling of 172074672 in words is "one hundred seventy-two million, seventy-four thousand, six hundred seventy-two".