72603377280 has 768 divisors, whose sum is σ = 301699157760. Its totient is φ = 15739453440.

The previous prime is 72603377227. The next prime is 72603377293. The reversal of 72603377280 is 8277330627.

72603377280 is a `hidden beast` number, since 7 + 2 + 603 + 37 + 7 + 2 + 8 + 0 = 666.

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, 61164847 + ... + 61166033.

It is an arithmetic number, because the mean of its divisors is an integer number (392837445).

Almost surely, 2^72603377280 is an apocalyptic number.

72603377280 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 72603377280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150849578880).

72603377280 is an abundant number, since it is smaller than the sum of its proper divisors (229095780480).

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

72603377280 is a wasteful number, since it uses less digits than its factorization.

72603377280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1297 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 72603377280 in words is "seventy-two billion, six hundred three million, three hundred seventy-seven thousand, two hundred eighty".