72273600 has 336 divisors, whose sum is σ = 302361600. Its totient is φ = 16450560.

The previous prime is 72273581. The next prime is 72273623. The reversal of 72273600 is 637227.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 302281 + ... + 302519.

Almost surely, 2^72273600 is an apocalyptic number.

72273600 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 72273600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151180800).

72273600 is an abundant number, since it is smaller than the sum of its proper divisors (230088000).

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

72273600 is a wasteful number, since it uses less digits than its factorization.

72273600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 72273600 is about 8501.3881219481. The cubic root of 72273600 is about 416.5430531087.

The spelling of 72273600 in words is "seventy-two million, two hundred seventy-three thousand, six hundred".