60752000 has 64 divisors (see below), whose sum is σ = 151084440. Its totient is φ = 24294400.

The previous prime is 60751979. The next prime is 60752009. The reversal of 60752000 is 25706.

It can be written as a sum of positive squares in 4 ways, for example, as 3356224 + 57395776 = 1832^2 + 7576^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (60752009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14102 + ... + 17898.

Almost surely, 2^60752000 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 60752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75542220).

60752000 is an abundant number, since it is smaller than the sum of its proper divisors (90332440).

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

60752000 is an equidigital number, since it uses as much as digits as its factorization.

60752000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3826 (or 3804 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 60752000 is about 7794.3569330638. The cubic root of 60752000 is about 393.1155230616.

Adding to 60752000 its reverse (25706), we get a palindrome (60777706).

The spelling of 60752000 in words is "sixty million, seven hundred fifty-two thousand".