61872300 has 324 divisors, whose sum is σ = 239265936. Its totient is φ = 13305600.

The previous prime is 61872269. The next prime is 61872319. The reversal of 61872300 is 327816.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1014270 + ... + 1014330.

Almost surely, 2^61872300 is an apocalyptic number.

61872300 is a gapful number since it is divisible by the number (60) 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 61872300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119632968).

61872300 is an abundant number, since it is smaller than the sum of its proper divisors (177393636).

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

61872300 is a wasteful number, since it uses less digits than its factorization.

61872300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 61872300 is about 7865.8947361378. The cubic root of 61872300 is about 395.5172415278.

The spelling of 61872300 in words is "sixty-one million, eight hundred seventy-two thousand, three hundred".