48729072 has 160 divisors (see below), whose sum is σ = 160704000. Its totient is φ = 12386304.

The previous prime is 48729067. The next prime is 48729073. The reversal of 48729072 is 27092784.

48729072 = T₂₂₃ + T₂₂₄ + ... + T₆₇₁.

It is a self number, because there is not a number n which added to its sum of digits gives 48729072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48729073) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108304 + ... + 108752.

It is an arithmetic number, because the mean of its divisors is an integer number (1004400).

Almost surely, 2^48729072 is an apocalyptic number.

48729072 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 48729072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80352000).

48729072 is an abundant number, since it is smaller than the sum of its proper divisors (111974928).

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

48729072 is a wasteful number, since it uses less digits than its factorization.

48729072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 48729072 is about 6980.6211757980. The cubic root of 48729072 is about 365.2548967004.

The spelling of 48729072 in words is "forty-eight million, seven hundred twenty-nine thousand, seventy-two".