49972000 has 144 divisors (see below), whose sum is σ = 136628856. Its totient is φ = 17856000.

The previous prime is 49971991. The next prime is 49972009. The reversal of 49972000 is 27994.

It is an interprime number because it is at equal distance from previous prime (49971991) and next prime (49972009).

It can be written as a sum of positive squares in 4 ways, for example, as 6780816 + 43191184 = 2604^2 + 6572^2 .

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (49972009) by changing a digit.

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, 1611985 + ... + 1612015.

Almost surely, 2^49972000 is an apocalyptic number.

49972000 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 49972000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68314428).

49972000 is an abundant number, since it is smaller than the sum of its proper divisors (86656856).

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

49972000 is a wasteful number, since it uses less digits than its factorization.

49972000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

The square root of 49972000 is about 7069.0876356147. The cubic root of 49972000 is about 368.3343684353.

Adding to 49972000 its reverse (27994), we get a palindrome (49999994).

The spelling of 49972000 in words is "forty-nine million, nine hundred seventy-two thousand".