625077972 has 120 divisors (see below), whose sum is σ = 1687732200. Its totient is φ = 201636864.

The previous prime is 625077949. The next prime is 625077997. The reversal of 625077972 is 279770526.

625077972 is a `hidden beast` number, since 6 + 2 + 507 + 79 + 72 = 666.

625077972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 190605636 + 434472336 = 13806^2 + 20844^2 .

It is a super-3 number, since 3×625077972³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1528104 + ... + 1528512.

It is an arithmetic number, because the mean of its divisors is an integer number (14064435).

Almost surely, 2^625077972 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 625077972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843866100).

625077972 is an abundant number, since it is smaller than the sum of its proper divisors (1062654228).

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

625077972 is a wasteful number, since it uses less digits than its factorization.

625077972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The square root of 625077972 is about 25001.5593913660. The cubic root of 625077972 is about 855.0235265918.

The spelling of 625077972 in words is "six hundred twenty-five million, seventy-seven thousand, nine hundred seventy-two".