72715770 has 96 divisors (see below), whose sum is σ = 198581760. Its totient is φ = 18437760.

The previous prime is 72715763. The next prime is 72715771. The reversal of 72715770 is 7751727.

It is a happy number.

72715770 is a nontrivial binomial coefficient, being equal to C(12060, 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72715771) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 186736 + ... + 187124.

It is an arithmetic number, because the mean of its divisors is an integer number (2068560).

Almost surely, 2^72715770 is an apocalyptic number.

72715770 is the 12059-th triangular number and also the 6030-th hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72715770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99290880).

72715770 is an abundant number, since it is smaller than the sum of its proper divisors (125865990).

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

72715770 is a wasteful number, since it uses less digits than its factorization.

72715770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 24010, while the sum is 36.

The square root of 72715770 is about 8527.3542203898. The cubic root of 72715770 is about 417.3907969735.

It can be divided in two parts, 7271 and 5770, that added together give a triangular number (13041 = T₁₆₁).

The spelling of 72715770 in words is "seventy-two million, seven hundred fifteen thousand, seven hundred seventy".