72547104 has 96 divisors (see below), whose sum is σ = 220268160. Its totient is φ = 20477952.

The previous prime is 72547091. The next prime is 72547133. The reversal of 72547104 is 40174527.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59202 + ... + 60414.

It is an arithmetic number, because the mean of its divisors is an integer number (2294460).

Almost surely, 2^72547104 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 72547104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110134080).

72547104 is an abundant number, since it is smaller than the sum of its proper divisors (147721056).

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

72547104 is a wasteful number, since it uses less digits than its factorization.

72547104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1322 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 30.

The square root of 72547104 is about 8517.4587759495. The cubic root of 72547104 is about 417.0678310949.

The spelling of 72547104 in words is "seventy-two million, five hundred forty-seven thousand, one hundred four".