49506072 has 192 divisors, whose sum is σ = 162518400. Its totient is φ = 12418560.

The previous prime is 49506071. The next prime is 49506073. The reversal of 49506072 is 27060594.

It is an interprime number because it is at equal distance from previous prime (49506071) and next prime (49506073).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49506071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 556204 + ... + 556292.

It is an arithmetic number, because the mean of its divisors is an integer number (846450).

Almost surely, 2^49506072 is an apocalyptic number.

49506072 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 49506072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81259200).

49506072 is an abundant number, since it is smaller than the sum of its proper divisors (113012328).

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

49506072 is a wasteful number, since it uses less digits than its factorization.

49506072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 49506072 is about 7036.0551447526. The cubic root of 49506072 is about 367.1860357038.

The spelling of 49506072 in words is "forty-nine million, five hundred six thousand, seventy-two".