49035672 has 192 divisors, whose sum is σ = 163749600. Its totient is φ = 13547520.

The previous prime is 49035661. The next prime is 49035673. The reversal of 49035672 is 27653094.

49035672 is a `hidden beast` number, since 4 + 90 + 3 + 567 + 2 = 666.

49035672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49035673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 433888 + ... + 434000.

Almost surely, 2^49035672 is an apocalyptic number.

49035672 is a gapful number since it is divisible by the number (42) 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 49035672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81874800).

49035672 is an abundant number, since it is smaller than the sum of its proper divisors (114713928).

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

49035672 is a wasteful number, since it uses less digits than its factorization.

49035672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 49035672 is about 7002.5475364327. The cubic root of 49035672 is about 366.0193486143.

The spelling of 49035672 in words is "forty-nine million, thirty-five thousand, six hundred seventy-two".