72603468 has 36 divisors (see below), whose sum is σ = 209744080. Its totient is φ = 20743776.

The previous prime is 72603463. The next prime is 72603469. The reversal of 72603468 is 86430627.

72603468 is a `hidden beast` number, since 7 + 2 + 603 + 46 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (72603463) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 143803 + ... + 144306.

Almost surely, 2^72603468 is an apocalyptic number.

It is an amenable number.

72603468 is an abundant number, since it is smaller than the sum of its proper divisors (137140612).

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

72603468 is a wasteful number, since it uses less digits than its factorization.

72603468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288126 (or 288121 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 72603468 is about 8520.7668668964. The cubic root of 72603468 is about 417.1758139301.

The spelling of 72603468 in words is "seventy-two million, six hundred three thousand, four hundred sixty-eight".