49359072 has 96 divisors (see below), whose sum is σ = 151200000. Its totient is φ = 14093184.

The previous prime is 49359061. The next prime is 49359077. The reversal of 49359072 is 27095394.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 49359072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49359077) 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 15 ways as a sum of consecutive naturals, for example, 32179 + ... + 33677.

It is an arithmetic number, because the mean of its divisors is an integer number (1575000).

Almost surely, 2^49359072 is an apocalyptic number.

49359072 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 49359072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75600000).

49359072 is an abundant number, since it is smaller than the sum of its proper divisors (101840928).

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

49359072 is a wasteful number, since it uses less digits than its factorization.

49359072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1533 (or 1511 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 39.

The square root of 49359072 is about 7025.6011842404. The cubic root of 49359072 is about 366.8222428871.

The spelling of 49359072 in words is "forty-nine million, three hundred fifty-nine thousand, seventy-two".