72457616 has 80 divisors (see below), whose sum is σ = 177036288. Its totient is φ = 27907200.

The previous prime is 72457607. The next prime is 72457639. The reversal of 72457616 is 61675427.

It is a super-2 number, since 2×72457616² = 10500212232806912, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 72457616.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 126611 + ... + 127181.

Almost surely, 2^72457616 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 72457616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88518144).

72457616 is an abundant number, since it is smaller than the sum of its proper divisors (104578672).

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

72457616 is a wasteful number, since it uses less digits than its factorization.

72457616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 694 counting only the distinct ones).

The product of its digits is 70560, while the sum is 38.

The square root of 72457616 is about 8512.2039449252. The cubic root of 72457616 is about 416.8962739477.

The spelling of 72457616 in words is "seventy-two million, four hundred fifty-seven thousand, six hundred sixteen".