72760660 has 48 divisors (see below), whose sum is σ = 177254784. Its totient is φ = 24571008.

The previous prime is 72760637. The next prime is 72760669. The reversal of 72760660 is 6606727.

It is a super-2 number, since 2×72760660² = 10588227287271200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72760669) 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 15 ways as a sum of consecutive naturals, for example, 5502 + ... + 13258.

It is an arithmetic number, because the mean of its divisors is an integer number (3692808).

Almost surely, 2^72760660 is an apocalyptic number.

72760660 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72760660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88627392).

72760660 is an abundant number, since it is smaller than the sum of its proper divisors (104494124).

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

72760660 is a wasteful number, since it uses less digits than its factorization.

72760660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7840 (or 7838 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 34.

The square root of 72760660 is about 8529.9859319931. The cubic root of 72760660 is about 417.4766693071.

The spelling of 72760660 in words is "seventy-two million, seven hundred sixty thousand, six hundred sixty".