61372800 has 144 divisors (see below), whose sum is σ = 219094980. Its totient is φ = 16358400.

The previous prime is 61372783. The next prime is 61372813. The reversal of 61372800 is 827316.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 27735 + ... + 29865.

Almost surely, 2^61372800 is an apocalyptic number.

61372800 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 61372800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109547490).

61372800 is an abundant number, since it is smaller than the sum of its proper divisors (157722180).

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

61372800 is a wasteful number, since it uses less digits than its factorization.

61372800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2161 (or 2141 counting only the distinct ones).

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

The square root of 61372800 is about 7834.0793970957. The cubic root of 61372800 is about 394.4500170402.

The spelling of 61372800 in words is "sixty-one million, three hundred seventy-two thousand, eight hundred".