72465200 has 60 divisors (see below), whose sum is σ = 180129840. Its totient is φ = 27982080.

The previous prime is 72465187. The next prime is 72465233. The reversal of 72465200 is 256427.

It is a super-2 number, since 2×72465200² = 10502410422080000, 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 72465200.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8477 + ... + 14723.

It is an arithmetic number, because the mean of its divisors is an integer number (3002164).

Almost surely, 2^72465200 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 72465200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90064920).

72465200 is an abundant number, since it is smaller than the sum of its proper divisors (107664640).

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

72465200 is a wasteful number, since it uses less digits than its factorization.

72465200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6294 (or 6283 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 72465200 is about 8512.6494113173. The cubic root of 72465200 is about 416.9108186853.

The spelling of 72465200 in words is "seventy-two million, four hundred sixty-five thousand, two hundred".