59968272 has 80 divisors (see below), whose sum is σ = 190682240. Its totient is φ = 15814656.

The previous prime is 59968267. The next prime is 59968277. The reversal of 59968272 is 27286995.

It is an interprime number because it is at equal distance from previous prime (59968267) and next prime (59968277).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59968277) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2497 + ... + 11232.

It is an arithmetic number, because the mean of its divisors is an integer number (2383528).

Almost surely, 2^59968272 is an apocalyptic number.

59968272 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59968272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95341120).

59968272 is an abundant number, since it is smaller than the sum of its proper divisors (130713968).

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

59968272 is a wasteful number, since it uses less digits than its factorization.

59968272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13760 (or 13754 counting only the distinct ones).

The product of its digits is 544320, while the sum is 48.

The square root of 59968272 is about 7743.9183879997. The cubic root of 59968272 is about 391.4177458829.

The spelling of 59968272 in words is "fifty-nine million, nine hundred sixty-eight thousand, two hundred seventy-two".