62748672 has 96 divisors (see below), whose sum is σ = 191318400. Its totient is φ = 17915904.

The previous prime is 62748667. The next prime is 62748677. The reversal of 62748672 is 27684726.

It is an interprime number because it is at equal distance from previous prime (62748667) and next prime (62748677).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (62748677) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42279 + ... + 43737.

It is an arithmetic number, because the mean of its divisors is an integer number (1992900).

Almost surely, 2^62748672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 62748672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95659200).

62748672 is an abundant number, since it is smaller than the sum of its proper divisors (128569728).

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

62748672 is a wasteful number, since it uses less digits than its factorization.

62748672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1491 (or 1471 counting only the distinct ones).

The product of its digits is 225792, while the sum is 42.

The square root of 62748672 is about 7921.4059358172. The cubic root of 62748672 is about 397.3758894206.

The spelling of 62748672 in words is "sixty-two million, seven hundred forty-eight thousand, six hundred seventy-two".