61887672 has 192 divisors, whose sum is σ = 217900800. Its totient is φ = 15811200.

The previous prime is 61887659. The next prime is 61887689. The reversal of 61887672 is 27678816.

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

Its product of digits (225792) is a multiple of the sum of its prime divisors (84).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1014522 + ... + 1014582.

It is an arithmetic number, because the mean of its divisors is an integer number (1134900).

Almost surely, 2^61887672 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 61887672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108950400).

61887672 is an abundant number, since it is smaller than the sum of its proper divisors (156013128).

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

61887672 is a wasteful number, since it uses less digits than its factorization.

61887672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 84 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The square root of 61887672 is about 7866.8718052349. The cubic root of 61887672 is about 395.5499938666.

Subtracting from 61887672 its reverse (27678816), we obtain a triangular number (34208856 = T₈₂₇₁).

The spelling of 61887672 in words is "sixty-one million, eight hundred eighty-seven thousand, six hundred seventy-two".