72507360 has 48 divisors (see below), whose sum is σ = 228399696. Its totient is φ = 19335168.

The previous prime is 72507359. The next prime is 72507367. The reversal of 72507360 is 6370527.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72507367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75049 + ... + 76008.

It is an arithmetic number, because the mean of its divisors is an integer number (4758327).

Almost surely, 2^72507360 is an apocalyptic number.

It is an amenable number.

72507360 is an abundant number, since it is smaller than the sum of its proper divisors (155892336).

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

72507360 is a wasteful number, since it uses less digits than its factorization.

72507360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151075 (or 151067 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 30.

The square root of 72507360 is about 8515.1253660765. The cubic root of 72507360 is about 416.9916554294.

Adding to 72507360 its reverse (6370527), we get a palindrome (78877887).

The spelling of 72507360 in words is "seventy-two million, five hundred seven thousand, three hundred sixty".