72279600 has 240 divisors, whose sum is σ = 250936320. Its totient is φ = 17740800.

The previous prime is 72279589. The next prime is 72279601. The reversal of 72279600 is 697227.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (72279601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1078767 + ... + 1078833.

It is an arithmetic number, because the mean of its divisors is an integer number (1045568).

Almost surely, 2^72279600 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 72279600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125468160).

72279600 is an abundant number, since it is smaller than the sum of its proper divisors (178656720).

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

72279600 is a wasteful number, since it uses less digits than its factorization.

72279600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 72279600 is about 8501.7409981721. The cubic root of 72279600 is about 416.5545796281.

The spelling of 72279600 in words is "seventy-two million, two hundred seventy-nine thousand, six hundred".