72010 has 16 divisors (see below), whose sum is σ = 136800. Its totient is φ = 27216.

The previous prime is 71999. The next prime is 72019. The reversal of 72010 is 1027.

72010 = T₁₉ + T₂₀ + ... + T₇₅.

72010 = 118² + 119² + ... + 122².

72010 is a nontrivial binomial coefficient, being equal to C(380, 2).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (72019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1 + ... + 379.

It is an arithmetic number, because the mean of its divisors is an integer number (8550).

2⁷²⁰¹⁰ is an apocalyptic number.

72010 is the 379-th triangular number and also the 190-th hexagonal number.

72010 is the 127-th centered nonagonal number.

72010 is a deficient number, since it is larger than the sum of its proper divisors (64790).

72010 is a wasteful number, since it uses less digits than its factorization.

72010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405.

The product of its (nonzero) digits is 14, while the sum is 10.

The square root of 72010 is about 268.3467905528. The cubic root of 72010 is about 41.6036023754.

Adding to 72010 its reverse (1027), we get a palindrome (73037).

The spelling of 72010 in words is "seventy-two thousand, ten", and thus it is an iban number.