72471600 has 180 divisors, whose sum is σ = 258155352. Its totient is φ = 18816000.

The previous prime is 72471577. The next prime is 72471611. The reversal of 72471600 is 617427.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 147355 + ... + 147845.

Almost surely, 2^72471600 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 72471600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129077676).

72471600 is an abundant number, since it is smaller than the sum of its proper divisors (185683752).

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

72471600 is a wasteful number, since it uses less digits than its factorization.

72471600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 72471600 is about 8513.0253141877. The cubic root of 72471600 is about 416.9230919360.

The spelling of 72471600 in words is "seventy-two million, four hundred seventy-one thousand, six hundred".