172574640 has 240 divisors, whose sum is σ = 671082048. Its totient is φ = 38928384.

The previous prime is 172574639. The next prime is 172574669. The reversal of 172574640 is 46475271.

172574640 is a `hidden beast` number, since 1 + 7 + 2 + 5 + 7 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×172574640² = 59564012742259200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 172574595 and 172574604.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 488704 + ... + 489056.

Almost surely, 2^172574640 is an apocalyptic number.

172574640 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 172574640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335541024).

172574640 is an abundant number, since it is smaller than the sum of its proper divisors (498507408).

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

172574640 is a wasteful number, since it uses less digits than its factorization.

172574640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 172574640 is about 13136.7667254922. The cubic root of 172574640 is about 556.7484184777.

The spelling of 172574640 in words is "one hundred seventy-two million, five hundred seventy-four thousand, six hundred forty".