72760002 has 48 divisors (see below), whose sum is σ = 170102592. Its totient is φ = 20687520.

The previous prime is 72759989. The next prime is 72760003. The reversal of 72760002 is 20006727.

It is not an unprimeable number, because it can be changed into a prime (72760003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76852 + ... + 77792.

It is an arithmetic number, because the mean of its divisors is an integer number (3543804).

Almost surely, 2^72760002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72760002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85051296).

72760002 is an abundant number, since it is smaller than the sum of its proper divisors (97342590).

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

72760002 is a wasteful number, since it uses less digits than its factorization.

72760002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1223 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 72760002 is about 8529.9473620885. The cubic root of 72760002 is about 417.4754108410.

Adding to 72760002 its reverse (20006727), we get a palindrome (92766729).

The spelling of 72760002 in words is "seventy-two million, seven hundred sixty thousand, two".