72292608 has 72 divisors (see below), whose sum is σ = 213802400. Its totient is φ = 24095232.

The previous prime is 72292601. The next prime is 72292613. The reversal of 72292608 is 80629227.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (72292601) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1683 + ... + 12141.

Almost surely, 2^72292608 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 72292608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106901200).

72292608 is an abundant number, since it is smaller than the sum of its proper divisors (141509792).

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

72292608 is a wasteful number, since it uses less digits than its factorization.

72292608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10484 (or 10464 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 72292608 is about 8502.5059835321. The cubic root of 72292608 is about 416.5795669318.

It can be divided in two parts, 72292 and 608, that added together give a square (72900 = 270²).

The spelling of 72292608 in words is "seventy-two million, two hundred ninety-two thousand, six hundred eight".