61752000 has 224 divisors, whose sum is σ = 213018624. Its totient is φ = 15744000.

The previous prime is 61751993. The next prime is 61752013. The reversal of 61752000 is 25716.

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 31 ways as a sum of consecutive naturals, for example, 743959 + ... + 744041.

It is an arithmetic number, because the mean of its divisors is an integer number (950976).

Almost surely, 2^61752000 is an apocalyptic number.

61752000 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 61752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106509312).

61752000 is an abundant number, since it is smaller than the sum of its proper divisors (151266624).

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

61752000 is a wasteful number, since it uses less digits than its factorization.

61752000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 61752000 is about 7858.2440786730. The cubic root of 61752000 is about 395.2607368938.

Adding to 61752000 its reverse (25716), we get a palindrome (61777716).

The spelling of 61752000 in words is "sixty-one million, seven hundred fifty-two thousand".