72426410 has 48 divisors (see below), whose sum is σ = 153653760. Its totient is φ = 24504480.

The previous prime is 72426401. The next prime is 72426413. The reversal of 72426410 is 1462427.

It is a self number, because there is not a number n which added to its sum of digits gives 72426410.

It is not an unprimeable number, because it can be changed into a prime (72426413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37775 + ... + 39645.

It is an arithmetic number, because the mean of its divisors is an integer number (3201120).

Almost surely, 2^72426410 is an apocalyptic number.

72426410 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

72426410 is an abundant number, since it is smaller than the sum of its proper divisors (81227350).

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

72426410 is a wasteful number, since it uses less digits than its factorization.

72426410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1971 (or 1964 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 72426410 is about 8510.3707322302. The cubic root of 72426410 is about 416.8364158129.

Adding to 72426410 its reverse (1462427), we get a palindrome (73888837).

The spelling of 72426410 in words is "seventy-two million, four hundred twenty-six thousand, four hundred ten".