68572900 has 144 divisors (see below), whose sum is σ = 181863360. Its totient is φ = 22118400.

The previous prime is 68572891. The next prime is 68572909. The reversal of 68572900 is 927586.

It is an interprime number because it is at equal distance from previous prime (68572891) and next prime (68572909).

It is a super-2 number, since 2×68572900² = 9404485228820000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 68572900.

It is not an unprimeable number, because it can be changed into a prime (68572909) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 355204 + ... + 355396.

It is an arithmetic number, because the mean of its divisors is an integer number (1262940).

Almost surely, 2^68572900 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 68572900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90931680).

68572900 is an abundant number, since it is smaller than the sum of its proper divisors (113290460).

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

68572900 is a wasteful number, since it uses less digits than its factorization.

68572900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 68572900 is about 8280.8755575724. The cubic root of 68572900 is about 409.3085708889.

The spelling of 68572900 in words is "sixty-eight million, five hundred seventy-two thousand, nine hundred".