49953672 has 80 divisors (see below), whose sum is σ = 141250560. Its totient is φ = 16492896.

The previous prime is 49953671. The next prime is 49953697. The reversal of 49953672 is 27635994.

It is a happy number.

49953672 is a `hidden beast` number, since 49 + 9 + 536 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49953671) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 81993 + ... + 82599.

It is an arithmetic number, because the mean of its divisors is an integer number (1765632).

Almost surely, 2^49953672 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 49953672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70625280).

49953672 is an abundant number, since it is smaller than the sum of its proper divisors (91296888).

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

49953672 is a wasteful number, since it uses less digits than its factorization.

49953672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 739 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 49953672 is about 7067.7911683920. The cubic root of 49953672 is about 368.2893321630.

It can be divided in two parts, 49953 and 672, that added together give a 4-th power (50625 = 15⁴).

The spelling of 49953672 in words is "forty-nine million, nine hundred fifty-three thousand, six hundred seventy-two".