72516360 has 128 divisors (see below), whose sum is σ = 250905600. Its totient is φ = 16423680.

The previous prime is 72516359. The next prime is 72516377. The reversal of 72516360 is 6361527.

72516360 = T₁₂₉ + T₁₃₀ + ... + T₇₅₈.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109711 + ... + 110369.

It is an arithmetic number, because the mean of its divisors is an integer number (1960200).

Almost surely, 2^72516360 is an apocalyptic number.

72516360 is a gapful number since it is divisible by the number (70) 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 72516360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125452800).

72516360 is an abundant number, since it is smaller than the sum of its proper divisors (178389240).

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

72516360 is a wasteful number, since it uses less digits than its factorization.

72516360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 72516360 is about 8515.6538210521. The cubic root of 72516360 is about 417.0089077912.

Adding to 72516360 its reverse (6361527), we get a palindrome (78877887).

The spelling of 72516360 in words is "seventy-two million, five hundred sixteen thousand, three hundred sixty".