625721074272 has 288 divisors, whose sum is σ = 2227469025600. Its totient is φ = 162458763264.

The previous prime is 625721074271. The next prime is 625721074333. The reversal of 625721074272 is 272470127526.

625721074272 is a `hidden beast` number, since 6 + 2 + 5 + 7 + 210 + 7 + 427 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (625721074271) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 679104 + ... + 1308672.

It is an arithmetic number, because the mean of its divisors is an integer number (7734267450).

Almost surely, 2^625721074272 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 625721074272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1113734512800).

625721074272 is an abundant number, since it is smaller than the sum of its proper divisors (1601747951328).

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

625721074272 is a wasteful number, since it uses less digits than its factorization.

625721074272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629638 (or 629627 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The spelling of 625721074272 in words is "six hundred twenty-five billion, seven hundred twenty-one million, seventy-four thousand, two hundred seventy-two".