49723632 has 240 divisors, whose sum is σ = 173872800. Its totient is φ = 13716864.

The previous prime is 49723621. The next prime is 49723637. The reversal of 49723632 is 23632794.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

Its product of digits (54432) is a multiple of the sum of its prime factors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49723637) 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, 1714594 + ... + 1714622.

It is an arithmetic number, because the mean of its divisors is an integer number (724470).

Almost surely, 2^49723632 is an apocalyptic number.

49723632 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 49723632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86936400).

49723632 is an abundant number, since it is smaller than the sum of its proper divisors (124149168).

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

49723632 is an equidigital number, since it uses as much as digits as its factorization.

49723632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 41 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 49723632 is about 7051.4985641351. The cubic root of 49723632 is about 367.7231298041.

The spelling of 49723632 in words is "forty-nine million, seven hundred twenty-three thousand, six hundred thirty-two".