72351048 has 256 divisors, whose sum is σ = 248832000. Its totient is φ = 17310720.

The previous prime is 72351043. The next prime is 72351053. The reversal of 72351048 is 84015327.

It is an interprime number because it is at equal distance from previous prime (72351043) and next prime (72351053).

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (72351043) 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, 1539361 + ... + 1539407.

It is an arithmetic number, because the mean of its divisors is an integer number (972000).

Almost surely, 2^72351048 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 72351048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124416000).

72351048 is an abundant number, since it is smaller than the sum of its proper divisors (176480952).

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

72351048 is a wasteful number, since it uses less digits than its factorization.

72351048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 72351048 is about 8505.9419231500. The cubic root of 72351048 is about 416.6917884231.

The spelling of 72351048 in words is "seventy-two million, three hundred fifty-one thousand, forty-eight".