72937260 has 120 divisors (see below), whose sum is σ = 249668496. Its totient is φ = 17677440.

The previous prime is 72937253. The next prime is 72937261. The reversal of 72937260 is 6273927.

72937260 = T₁₆₀₁ + T₁₆₀₂ + ... + T₁₆₅₅.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (72937261) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15774 + ... + 19866.

Almost surely, 2^72937260 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 72937260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124834248).

72937260 is an abundant number, since it is smaller than the sum of its proper divisors (176731236).

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

72937260 is a wasteful number, since it uses less digits than its factorization.

72937260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4125 (or 4114 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 72937260 is about 8540.3313753039. The cubic root of 72937260 is about 417.8141539319.

The spelling of 72937260 in words is "seventy-two million, nine hundred thirty-seven thousand, two hundred sixty".