49867272 has 256 divisors, whose sum is σ = 177408000. Its totient is φ = 12628224.

The previous prime is 49867271. The next prime is 49867277. The reversal of 49867272 is 27276894.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (49867271) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 845179 + ... + 845237.

It is an arithmetic number, because the mean of its divisors is an integer number (693000).

Almost surely, 2^49867272 is an apocalyptic number.

49867272 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 49867272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88704000).

49867272 is an abundant number, since it is smaller than the sum of its proper divisors (127540728).

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

49867272 is a wasteful number, since it uses less digits than its factorization.

49867272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 127 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 49867272 is about 7061.6762882477. The cubic root of 49867272 is about 368.0768782358.

The spelling of 49867272 in words is "forty-nine million, eight hundred sixty-seven thousand, two hundred seventy-two".