72810870 has 128 divisors (see below), whose sum is σ = 203793408. Its totient is φ = 16473600.

The previous prime is 72810863. The next prime is 72810877. The reversal of 72810870 is 7801827.

It is an interprime number because it is at equal distance from previous prime (72810863) and next prime (72810877).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72810877) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 402180 + ... + 402360.

It is an arithmetic number, because the mean of its divisors is an integer number (1592136).

Almost surely, 2^72810870 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72810870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101896704).

72810870 is an abundant number, since it is smaller than the sum of its proper divisors (130982538).

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

72810870 is a wasteful number, since it uses less digits than its factorization.

72810870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278.

The product of its (nonzero) digits is 6272, while the sum is 33.

The square root of 72810870 is about 8532.9285711296. The cubic root of 72810870 is about 417.5726766998.

The spelling of 72810870 in words is "seventy-two million, eight hundred ten thousand, eight hundred seventy".