72297600 has 192 divisors, whose sum is σ = 252707040. Its totient is φ = 18104320.

The previous prime is 72297587. The next prime is 72297613. The reversal of 72297600 is 679227.

It is an interprime number because it is at equal distance from previous prime (72297587) and next prime (72297613).

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162979 + ... + 163421.

Almost surely, 2^72297600 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 72297600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126353520).

72297600 is an abundant number, since it is smaller than the sum of its proper divisors (180409440).

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

72297600 is a wasteful number, since it uses less digits than its factorization.

72297600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 470 counting only the distinct ones).

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

The square root of 72297600 is about 8502.7995389754. The cubic root of 72297600 is about 416.5891553595.

The spelling of 72297600 in words is "seventy-two million, two hundred ninety-seven thousand, six hundred".