72171600 has 120 divisors (see below), whose sum is σ = 233407680. Its totient is φ = 19061760.

The previous prime is 72171563. The next prime is 72171611. The reversal of 72171600 is 617127.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164181 + ... + 164619.

It is an arithmetic number, because the mean of its divisors is an integer number (1945064).

Almost surely, 2^72171600 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 72171600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116703840).

72171600 is an abundant number, since it is smaller than the sum of its proper divisors (161236080).

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

72171600 is a wasteful number, since it uses less digits than its factorization.

72171600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 24.

The square root of 72171600 is about 8495.3869835341. The cubic root of 72171600 is about 416.3470045993.

Adding to 72171600 its reverse (617127), we get a palindrome (72788727).

It can be divided in two parts, 72171 and 600, that added together give a triangular number (72771 = T₃₈₁).

The spelling of 72171600 in words is "seventy-two million, one hundred seventy-one thousand, six hundred".