72603762 has 64 divisors (see below), whose sum is σ = 187315200. Its totient is φ = 18204480.

The previous prime is 72603761. The next prime is 72603779. The reversal of 72603762 is 26730627.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (72603761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10689 + ... + 16107.

It is an arithmetic number, because the mean of its divisors is an integer number (2926800).

Almost surely, 2^72603762 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72603762, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93657600).

72603762 is an abundant number, since it is smaller than the sum of its proper divisors (114711438).

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

72603762 is a wasteful number, since it uses less digits than its factorization.

72603762 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5471.

The product of its (nonzero) digits is 21168, while the sum is 33.

The square root of 72603762 is about 8520.7841188473. The cubic root of 72603762 is about 417.1763770323.

The spelling of 72603762 in words is "seventy-two million, six hundred three thousand, seven hundred sixty-two".