72942048 has 72 divisors (see below), whose sum is σ = 208510848. Its totient is φ = 24187392.

The previous prime is 72942041. The next prime is 72942049. The reversal of 72942048 is 84024927.

It is a tau number, because it is divible by the number of its divisors (72).

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 (72942041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66561 + ... + 67647.

It is an arithmetic number, because the mean of its divisors is an integer number (2895984).

Almost surely, 2^72942048 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 72942048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104255424).

72942048 is an abundant number, since it is smaller than the sum of its proper divisors (135568800).

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

72942048 is a wasteful number, since it uses less digits than its factorization.

72942048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 72942048 is about 8540.6116876954. The cubic root of 72942048 is about 417.8232962660.

The spelling of 72942048 in words is "seventy-two million, nine hundred forty-two thousand, forty-eight".