72208281600 has 1872 divisors, whose sum is σ = 340416649440. Its totient is φ = 14863564800.

The previous prime is 72208281583. The next prime is 72208281631. The reversal of 72208281600 is 618280227.

It is a happy number.

72208281600 is a `hidden beast` number, since 7 + 2 + 20 + 8 + 28 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1872).

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 143 ways as a sum of consecutive naturals, for example, 1761177580 + ... + 1761177620.

Almost surely, 2^72208281600 is an apocalyptic number.

72208281600 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 72208281600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170208324720).

72208281600 is an abundant number, since it is smaller than the sum of its proper divisors (268208367840).

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

72208281600 is a wasteful number, since it uses less digits than its factorization.

72208281600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 72208281600 in words is "seventy-two billion, two hundred eight million, two hundred eighty-one thousand, six hundred".