72939048 has 144 divisors (see below), whose sum is σ = 230316480. Its totient is φ = 19184256.

The previous prime is 72939047. The next prime is 72939059. The reversal of 72939048 is 84093927.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (72939047) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 198561 + ... + 198927.

It is an arithmetic number, because the mean of its divisors is an integer number (1599420).

Almost surely, 2^72939048 is an apocalyptic number.

72939048 is a gapful number since it is divisible by the number (78) 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 72939048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115158240).

72939048 is an abundant number, since it is smaller than the sum of its proper divisors (157377432).

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

72939048 is a wasteful number, since it uses less digits than its factorization.

72939048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 72939048 is about 8540.4360544412. The cubic root of 72939048 is about 417.8175680333.

The spelling of 72939048 in words is "seventy-two million, nine hundred thirty-nine thousand, forty-eight".