72461130 has 64 divisors (see below), whose sum is σ = 201035520. Its totient is φ = 16372224.

The previous prime is 72461119. The next prime is 72461141. The reversal of 72461130 is 3116427.

It is an interprime number because it is at equal distance from previous prime (72461119) and next prime (72461141).

It is a self number, because there is not a number n which added to its sum of digits gives 72461130.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16752 + ... + 20628.

It is an arithmetic number, because the mean of its divisors is an integer number (3141180).

Almost surely, 2^72461130 is an apocalyptic number.

72461130 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 72461130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100517760).

72461130 is an abundant number, since it is smaller than the sum of its proper divisors (128574390).

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

72461130 is a wasteful number, since it uses less digits than its factorization.

72461130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3983.

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 72461130 is about 8512.4103519509. The cubic root of 72461130 is about 416.9030132891.

Adding to 72461130 its reverse (3116427), we get a palindrome (75577557).

The spelling of 72461130 in words is "seventy-two million, four hundred sixty-one thousand, one hundred thirty".