62725600 has 144 divisors (see below), whose sum is σ = 182988288. Its totient is φ = 20528640.

The previous prime is 62725583. The next prime is 62725633. The reversal of 62725600 is 652726.

62725600 is a nontrivial binomial coefficient, being equal to C(11201, 2).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128557 + ... + 129043.

It is an arithmetic number, because the mean of its divisors is an integer number (1270752).

Almost surely, 2^62725600 is an apocalyptic number.

62725600 is the 11200-th triangular number.

62725600 is the 3734-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 62725600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91494144).

62725600 is an abundant number, since it is smaller than the sum of its proper divisors (120262688).

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

62725600 is a wasteful number, since it uses less digits than its factorization.

62725600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 62725600 is about 7919.9494947885. The cubic root of 62725600 is about 397.3271798616.

The spelling of 62725600 in words is "sixty-two million, seven hundred twenty-five thousand, six hundred".