49545072 has 120 divisors (see below), whose sum is σ = 151057296. Its totient is φ = 15095808.

The previous prime is 49545071. The next prime is 49545127. The reversal of 49545072 is 27054594.

49545072 is a `hidden beast` number, since 49 + 545 + 0 + 72 = 666.

It is a super-3 number, since 3×49545072³ (a number of 24 digits) contains 333 as substring.

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 (49545071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90303 + ... + 90849.

Almost surely, 2^49545072 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 49545072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75528648).

49545072 is an abundant number, since it is smaller than the sum of its proper divisors (101512224).

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

49545072 is a wasteful number, since it uses less digits than its factorization.

49545072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 49545072 is about 7038.8260384811. The cubic root of 49545072 is about 367.2824312640.

The spelling of 49545072 in words is "forty-nine million, five hundred forty-five thousand, seventy-two".