72482551200 has 216 divisors, whose sum is σ = 256808313216. Its totient is φ = 19236672000.

The previous prime is 72482551199. The next prime is 72482551201. The reversal of 72482551200 is 215528427.

It is a happy number.

72482551200 is a `hidden beast` number, since 7 + 2 + 4 + 82 + 551 + 20 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (72482551199) and next prime (72482551201).

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 (72482551201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1495345 + ... + 1543055.

It is an arithmetic number, because the mean of its divisors is an integer number (1188927376).

Almost surely, 2^72482551200 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 72482551200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128404156608).

72482551200 is an abundant number, since it is smaller than the sum of its proper divisors (184325762016).

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

72482551200 is a wasteful number, since it uses less digits than its factorization.

72482551200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47948 (or 47932 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The spelling of 72482551200 in words is "seventy-two billion, four hundred eighty-two million, five hundred fifty-one thousand, two hundred".