72163710 has 112 divisors (see below), whose sum is σ = 205396560. Its totient is φ = 18195840.

The previous prime is 72163709. The next prime is 72163723. The reversal of 72163710 is 1736127.

72163710 is a `hidden beast` number, since 7 + 21 + 637 + 1 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 138250 + ... + 138770.

Almost surely, 2^72163710 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72163710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102698280).

72163710 is an abundant number, since it is smaller than the sum of its proper divisors (133232850).

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

72163710 is a wasteful number, since it uses less digits than its factorization.

72163710 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 72163710 is about 8494.9226011777. The cubic root of 72163710 is about 416.3318319756.

Adding to 72163710 its reverse (1736127), we get a palindrome (73899837).

The spelling of 72163710 in words is "seventy-two million, one hundred sixty-three thousand, seven hundred ten".