72265600 has 96 divisors (see below), whose sum is σ = 194842440. Its totient is φ = 26265600.

The previous prime is 72265579. The next prime is 72265621. The reversal of 72265600 is 656227.

It is an interprime number because it is at equal distance from previous prime (72265579) and next prime (72265621).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34174 + ... + 36226.

Almost surely, 2^72265600 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 72265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97421220).

72265600 is an abundant number, since it is smaller than the sum of its proper divisors (122576840).

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

72265600 is a wasteful number, since it uses less digits than its factorization.

72265600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2088 (or 2071 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 72265600 is about 8500.9175975303. The cubic root of 72265600 is about 416.5276834237.

The spelling of 72265600 in words is "seventy-two million, two hundred sixty-five thousand, six hundred".