72285696 has 240 divisors, whose sum is σ = 250233984. Its totient is φ = 20404224.

The previous prime is 72285691. The next prime is 72285713. The reversal of 72285696 is 69658227.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72285691) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 870871 + ... + 870953.

Almost surely, 2^72285696 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 72285696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125116992).

72285696 is an abundant number, since it is smaller than the sum of its proper divisors (177948288).

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

72285696 is an frugal number, since it uses more digits than its factorization.

72285696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 95 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 72285696 is about 8502.0995054163. The cubic root of 72285696 is about 416.5662899185.

The spelling of 72285696 in words is "seventy-two million, two hundred eighty-five thousand, six hundred ninety-six".