62461872 has 120 divisors (see below), whose sum is σ = 194987520. Its totient is φ = 18503040.

The previous prime is 62461849. The next prime is 62461877. The reversal of 62461872 is 27816426.

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

It is not an unprimeable number, because it can be changed into a prime (62461877) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74029 + ... + 74867.

It is an arithmetic number, because the mean of its divisors is an integer number (1624896).

Almost surely, 2^62461872 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 62461872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97493760).

62461872 is an abundant number, since it is smaller than the sum of its proper divisors (132525648).

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

62461872 is a wasteful number, since it uses less digits than its factorization.

62461872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911 (or 902 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 62461872 is about 7903.2823560847. The cubic root of 62461872 is about 396.7695473399.

It can be divided in two parts, 6246 and 1872, that added together give a palindrome (8118).

The spelling of 62461872 in words is "sixty-two million, four hundred sixty-one thousand, eight hundred seventy-two".