72649170 has 128 divisors (see below), whose sum is σ = 215343360. Its totient is φ = 17280000.

The previous prime is 72649139. The next prime is 72649183. The reversal of 72649170 is 7194627.

It is a happy number.

72649170 is a `hidden beast` number, since 7 + 2 + 649 + 1 + 7 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 180970 + ... + 181370.

It is an arithmetic number, because the mean of its divisors is an integer number (1682370).

Almost surely, 2^72649170 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72649170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107671680).

72649170 is an abundant number, since it is smaller than the sum of its proper divisors (142694190).

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

72649170 is a wasteful number, since it uses less digits than its factorization.

72649170 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 72649170 is about 8523.4482458686. The cubic root of 72649170 is about 417.2633293547.

The spelling of 72649170 in words is "seventy-two million, six hundred forty-nine thousand, one hundred seventy".