72113460 has 48 divisors (see below), whose sum is σ = 202364736. Its totient is φ = 19187712.

The previous prime is 72113449. The next prime is 72113479. The reversal of 72113460 is 6431127.

It is a super-2 number, since 2×72113460² = 10400702226343200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 72113460.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33579 + ... + 35661.

It is an arithmetic number, because the mean of its divisors is an integer number (4215932).

Almost surely, 2^72113460 is an apocalyptic number.

It is an amenable number.

72113460 is an abundant number, since it is smaller than the sum of its proper divisors (130251276).

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

72113460 is a wasteful number, since it uses less digits than its factorization.

72113460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2672 (or 2670 counting only the distinct ones).

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

The square root of 72113460 is about 8491.9644370428. The cubic root of 72113460 is about 416.2351742864.

Adding to 72113460 its reverse (6431127), we get a palindrome (78544587).

The spelling of 72113460 in words is "seventy-two million, one hundred thirteen thousand, four hundred sixty".