172796976 has 400 divisors, whose sum is σ = 622245888. Its totient is φ = 45619200.

The previous prime is 172796969. The next prime is 172796977. The reversal of 172796976 is 679697271.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172796977) 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 79 ways as a sum of consecutive naturals, for example, 5574081 + ... + 5574111.

Almost surely, 2^172796976 is an apocalyptic number.

172796976 is a gapful number since it is divisible by the number (16) 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 172796976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311122944).

172796976 is an abundant number, since it is smaller than the sum of its proper divisors (449448912).

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

172796976 is a wasteful number, since it uses less digits than its factorization.

172796976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 87 counting only the distinct ones).

The product of its digits is 2000376, while the sum is 54.

The square root of 172796976 is about 13145.2263578837. The cubic root of 172796976 is about 556.9874109024.

The spelling of 172796976 in words is "one hundred seventy-two million, seven hundred ninety-six thousand, nine hundred seventy-six".