72494400 has 168 divisors, whose sum is σ = 259653024. Its totient is φ = 17561600.

The previous prime is 72494393. The next prime is 72494419. The reversal of 72494400 is 449427.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 52114 + ... + 53486.

Almost surely, 2^72494400 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 72494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129826512).

72494400 is an abundant number, since it is smaller than the sum of its proper divisors (187158624).

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

72494400 is a wasteful number, since it uses less digits than its factorization.

72494400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1409 (or 1394 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 72494400 is about 8514.3643332899. The cubic root of 72494400 is about 416.9668095201.

The spelling of 72494400 in words is "seventy-two million, four hundred ninety-four thousand, four hundred".