172364640 has 192 divisors, whose sum is σ = 635475456. Its totient is φ = 38449152.

The previous prime is 172364617. The next prime is 172364657. The reversal of 172364640 is 46463271.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143884 + ... + 145076.

It is an arithmetic number, because the mean of its divisors is an integer number (3309768).

Almost surely, 2^172364640 is an apocalyptic number.

172364640 is a gapful number since it is divisible by the number (10) 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 172364640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317737728).

172364640 is an abundant number, since it is smaller than the sum of its proper divisors (463110816).

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

172364640 is a wasteful number, since it uses less digits than its factorization.

172364640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1261 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 172364640 is about 13128.7714581373. The cubic root of 172364640 is about 556.5224976354.

The spelling of 172364640 in words is "one hundred seventy-two million, three hundred sixty-four thousand, six hundred forty".