172078368 has 96 divisors (see below), whose sum is σ = 563189760. Its totient is φ = 44693760.

The previous prime is 172078351. The next prime is 172078381. The reversal of 172078368 is 863870271.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×172078368² = 59221929467086848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4248 + ... + 19031.

It is an arithmetic number, because the mean of its divisors is an integer number (5866560).

Almost surely, 2^172078368 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 172078368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281594880).

172078368 is an abundant number, since it is smaller than the sum of its proper divisors (391111392).

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

172078368 is a wasteful number, since it uses less digits than its factorization.

172078368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23310 (or 23302 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The square root of 172078368 is about 13117.8644603457. The cubic root of 172078368 is about 556.2142265762.

The spelling of 172078368 in words is "one hundred seventy-two million, seventy-eight thousand, three hundred sixty-eight".