72413460 has 96 divisors (see below), whose sum is σ = 257483520. Its totient is φ = 16550784.

The previous prime is 72413459. The next prime is 72413461. The reversal of 72413460 is 6431427.

It is an interprime number because it is at equal distance from previous prime (72413459) and next prime (72413461).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72413461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5799 + ... + 13358.

It is an arithmetic number, because the mean of its divisors is an integer number (2682120).

Almost surely, 2^72413460 is an apocalyptic number.

72413460 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72413460 is an abundant number, since it is smaller than the sum of its proper divisors (185070060).

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

72413460 is a wasteful number, since it uses less digits than its factorization.

72413460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19182 (or 19174 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 72413460 is about 8509.6098617974. The cubic root of 72413460 is about 416.8115705788.

Adding to 72413460 its reverse (6431427), we get a palindrome (78844887).

It can be divided in two parts, 7241 and 3460, that added together give a palindrome (10701).

The spelling of 72413460 in words is "seventy-two million, four hundred thirteen thousand, four hundred sixty".