72249408000 has 1600 divisors, whose sum is σ = 337386905856. Its totient is φ = 14929920000.

The previous prime is 72249407987. The next prime is 72249408017. The reversal of 72249408000 is 80494227.

72249408000 is a `hidden beast` number, since 7 + 2 + 249 + 408 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1600).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 399167910 + ... + 399168090.

Almost surely, 2^72249408000 is an apocalyptic number.

72249408000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72249408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168693452928).

72249408000 is an abundant number, since it is smaller than the sum of its proper divisors (265137497856).

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

72249408000 is a wasteful number, since it uses less digits than its factorization.

72249408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

It can be divided in two parts, 72249 and 408000, that added together give a square (480249 = 693²).

The spelling of 72249408000 in words is "seventy-two billion, two hundred forty-nine million, four hundred eight thousand".