53772642 has 72 divisors (see below), whose sum is σ = 146397888. Its totient is φ = 13962960.

The previous prime is 53772619. The next prime is 53772673. The reversal of 53772642 is 24627735.

It is a happy number.

53772642 is a `hidden beast` number, since 5 + 3 + 7 + 7 + 2 + 642 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 53772597 and 53772606.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13483 + ... + 17009.

It is an arithmetic number, because the mean of its divisors is an integer number (2033304).

Almost surely, 2^53772642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53772642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73198944).

53772642 is an abundant number, since it is smaller than the sum of its proper divisors (92625246).

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

53772642 is a wasteful number, since it uses less digits than its factorization.

53772642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3564 (or 3550 counting only the distinct ones).

The product of its digits is 70560, while the sum is 36.

The square root of 53772642 is about 7332.9831583060. The cubic root of 53772642 is about 377.4450999793.

The spelling of 53772642 in words is "fifty-three million, seven hundred seventy-two thousand, six hundred forty-two".