72513620 has 12 divisors (see below), whose sum is σ = 152278644. Its totient is φ = 29005440.

The previous prime is 72513587. The next prime is 72513629. The reversal of 72513620 is 2631527.

It can be written as a sum of positive squares in 2 ways, for example, as 44782864 + 27730756 = 6692^2 + 5266^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 72513620.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72513629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1812821 + ... + 1812860.

It is an arithmetic number, because the mean of its divisors is an integer number (12689887).

Almost surely, 2^72513620 is an apocalyptic number.

It is an amenable number.

72513620 is an abundant number, since it is smaller than the sum of its proper divisors (79765024).

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

72513620 is a wasteful number, since it uses less digits than its factorization.

72513620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3625690 (or 3625688 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 72513620 is about 8515.4929393430. The cubic root of 72513620 is about 417.0036555567.

The spelling of 72513620 in words is "seventy-two million, five hundred thirteen thousand, six hundred twenty".