7272405504 has 800 divisors, whose sum is σ = 27949211136. Its totient is φ = 1831403520.

The previous prime is 7272405499. The next prime is 7272405521. The reversal of 7272405504 is 4055042727.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 154732009 + ... + 154732055.

Almost surely, 2^7272405504 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 7272405504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13974605568).

7272405504 is an abundant number, since it is smaller than the sum of its proper divisors (20676805632).

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

7272405504 is a wasteful number, since it uses less digits than its factorization.

7272405504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The square root of 7272405504 is about 85278.3999849903. The cubic root of 7272405504 is about 1937.4300387586.

The spelling of 7272405504 in words is "seven billion, two hundred seventy-two million, four hundred five thousand, five hundred four".