72351072 has 36 divisors (see below), whose sum is σ = 205749180. Its totient is φ = 24116928.

The previous prime is 72351061. The next prime is 72351079. The reversal of 72351072 is 27015327.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72351079) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 125322 + ... + 125897.

It is an arithmetic number, because the mean of its divisors is an integer number (5715255).

Almost surely, 2^72351072 is an apocalyptic number.

72351072 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

72351072 is an abundant number, since it is smaller than the sum of its proper divisors (133398108).

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

72351072 is a wasteful number, since it uses less digits than its factorization.

72351072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251235 (or 251224 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 72351072 is about 8505.9433339283. The cubic root of 72351072 is about 416.6918344975.

Adding to 72351072 its reverse (27015327), we get a palindrome (99366399).

The spelling of 72351072 in words is "seventy-two million, three hundred fifty-one thousand, seventy-two".