72627448320 has 960 divisors, whose sum is σ = 306562164480. Its totient is φ = 15521808384.

The previous prime is 72627448291. The next prime is 72627448337. The reversal of 72627448320 is 2384472627.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 419811754 + ... + 419811926.

It is an arithmetic number, because the mean of its divisors is an integer number (319335588).

Almost surely, 2^72627448320 is an apocalyptic number.

72627448320 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 72627448320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153281082240).

72627448320 is an abundant number, since it is smaller than the sum of its proper divisors (233934716160).

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

72627448320 is a wasteful number, since it uses less digits than its factorization.

72627448320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 72627448320 in words is "seventy-two billion, six hundred twenty-seven million, four hundred forty-eight thousand, three hundred twenty".