49531872 has 144 divisors (see below), whose sum is σ = 146095488. Its totient is φ = 14676480.

The previous prime is 49531871. The next prime is 49531891. The reversal of 49531872 is 27813594.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 49531872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49531871) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 697597 + ... + 697667.

It is an arithmetic number, because the mean of its divisors is an integer number (1014552).

Almost surely, 2^49531872 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 49531872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73047744).

49531872 is an abundant number, since it is smaller than the sum of its proper divisors (96563616).

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

49531872 is a wasteful number, since it uses less digits than its factorization.

49531872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 132 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The square root of 49531872 is about 7037.8883196595. Note that the first 3 decimals coincide. The cubic root of 49531872 is about 367.2498107395.

It can be divided in two parts, 49531 and 872, that added together give a triangular number (50403 = T₃₁₇).

The spelling of 49531872 in words is "forty-nine million, five hundred thirty-one thousand, eight hundred seventy-two".