72625258773480 has 512 divisors, whose sum is σ = 259288164495360. Its totient is φ = 15928523735040.

The previous prime is 72625258773451. The next prime is 72625258773539. The reversal of 72625258773480 is 8437785252627.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1822125712 + ... + 1822165568.

It is an arithmetic number, because the mean of its divisors is an integer number (506422196280).

Almost surely, 2^{72625258773480} is an apocalyptic number.

72625258773480 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 72625258773480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129644082247680).

72625258773480 is an abundant number, since it is smaller than the sum of its proper divisors (186662905721880).

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

72625258773480 is a wasteful number, since it uses less digits than its factorization.

72625258773480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40809 (or 40805 counting only the distinct ones).

The product of its (nonzero) digits is 316108800, while the sum is 66.

The spelling of 72625258773480 in words is "seventy-two trillion, six hundred twenty-five billion, two hundred fifty-eight million, seven hundred seventy-three thousand, four hundred eighty".