72662400 has 288 divisors, whose sum is σ = 275410200. Its totient is φ = 18708480.

The previous prime is 72662393. The next prime is 72662411. The reversal of 72662400 is 426627.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 2505586 + ... + 2505614.

Almost surely, 2^72662400 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 72662400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137705100).

72662400 is an abundant number, since it is smaller than the sum of its proper divisors (202747800).

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

72662400 is a wasteful number, since it uses less digits than its factorization.

72662400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 72662400 is about 8524.2243048855. The cubic root of 72662400 is about 417.2886568236.

The spelling of 72662400 in words is "seventy-two million, six hundred sixty-two thousand, four hundred".