62672544 has 144 divisors (see below), whose sum is σ = 197817984. Its totient is φ = 18662400.

The previous prime is 62672531. The next prime is 62672549. The reversal of 62672544 is 44527626.

62672544 is a `hidden beast` number, since 626 + 7 + 25 + 4 + 4 = 666.

62672544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (80640) is a multiple of the sum of its prime divisors (360).

It is a junction number, because it is equal to n+sod(n) for n = 62672499 and 62672508.

It is not an unprimeable number, because it can be changed into a prime (62672549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 231129 + ... + 231399.

It is an arithmetic number, because the mean of its divisors is an integer number (1373736).

Almost surely, 2^62672544 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 62672544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98908992).

62672544 is an abundant number, since it is smaller than the sum of its proper divisors (135145440).

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

62672544 is a wasteful number, since it uses less digits than its factorization.

62672544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 360 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 62672544 is about 7916.5992698886. The cubic root of 62672544 is about 397.2151228106.

The spelling of 62672544 in words is "sixty-two million, six hundred seventy-two thousand, five hundred forty-four".