49578672 has 160 divisors (see below), whose sum is σ = 155990016. Its totient is φ = 13363200.

The previous prime is 49578671. The next prime is 49578673. The reversal of 49578672 is 27687594.

It is an interprime number because it is at equal distance from previous prime (49578671) and next prime (49578673).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (49578671) 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 31 ways as a sum of consecutive naturals, for example, 212668 + ... + 212900.

Almost surely, 2^49578672 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 49578672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77995008).

49578672 is an abundant number, since it is smaller than the sum of its proper divisors (106411344).

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

49578672 is a wasteful number, since it uses less digits than its factorization.

49578672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 293 counting only the distinct ones).

The product of its digits is 846720, while the sum is 48.

The square root of 49578672 is about 7041.2123956035. The cubic root of 49578672 is about 367.3654391902.

The spelling of 49578672 in words is "forty-nine million, five hundred seventy-eight thousand, six hundred seventy-two".