72949176 has 96 divisors (see below), whose sum is σ = 211526640. Its totient is φ = 22631424.

The previous prime is 72949139. The next prime is 72949187. The reversal of 72949176 is 67194927.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 23 ways as a sum of consecutive naturals, for example, 130690 + ... + 131246.

Almost surely, 2^72949176 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 72949176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105763320).

72949176 is an abundant number, since it is smaller than the sum of its proper divisors (138577464).

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

72949176 is a wasteful number, since it uses less digits than its factorization.

72949176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 686 counting only the distinct ones).

The product of its digits is 190512, while the sum is 45.

The square root of 72949176 is about 8541.0289778223. The cubic root of 72949176 is about 417.8369059170.

The spelling of 72949176 in words is "seventy-two million, nine hundred forty-nine thousand, one hundred seventy-six".