49572000 has 336 divisors, whose sum is σ = 193356072. Its totient is φ = 12441600.

The previous prime is 49571953. The next prime is 49572023. The reversal of 49572000 is 27594.

It can be written as a sum of positive squares in 4 ways, for example, as 21566736 + 28005264 = 4644^2 + 5292^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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 55 ways as a sum of consecutive naturals, for example, 2915992 + ... + 2916008.

Almost surely, 2^49572000 is an apocalyptic number.

49572000 is a gapful number since it is divisible by the number (40) 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 49572000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96678036).

49572000 is an abundant number, since it is smaller than the sum of its proper divisors (143784072).

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

49572000 is an equidigital number, since it uses as much as digits as its factorization.

49572000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 49572000 is about 7040.7385976189. The cubic root of 49572000 is about 367.3489591726.

Adding to 49572000 its reverse (27594), we get a palindrome (49599594).

The spelling of 49572000 in words is "forty-nine million, five hundred seventy-two thousand".