72746060 has 48 divisors (see below), whose sum is σ = 170281440. Its totient is φ = 25943040.

The previous prime is 72746053. The next prime is 72746071. The reversal of 72746060 is 6064727.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 830 + ... + 12090.

It is an arithmetic number, because the mean of its divisors is an integer number (3547530).

Almost surely, 2^72746060 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 72746060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85140720).

72746060 is an abundant number, since it is smaller than the sum of its proper divisors (97535380).

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

72746060 is a wasteful number, since it uses less digits than its factorization.

72746060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11306 (or 11304 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 32.

The square root of 72746060 is about 8529.1300845983. The cubic root of 72746060 is about 417.4487441110.

The spelling of 72746060 in words is "seventy-two million, seven hundred forty-six thousand, sixty".