61573200 has 120 divisors (see below), whose sum is σ = 212465568. Its totient is φ = 15152640.

The previous prime is 61573189. The next prime is 61573219. The reversal of 61573200 is 237516.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 23 ways as a sum of consecutive naturals, for example, 13627 + ... + 17573.

Almost surely, 2^61573200 is an apocalyptic number.

61573200 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 61573200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106232784).

61573200 is an abundant number, since it is smaller than the sum of its proper divisors (150892368).

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

61573200 is a wasteful number, since it uses less digits than its factorization.

61573200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3981 (or 3970 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 61573200 is about 7846.8592443092. The cubic root of 61573200 is about 394.8788818422.

The spelling of 61573200 in words is "sixty-one million, five hundred seventy-three thousand, two hundred".