55672736 has 96 divisors (see below), whose sum is σ = 134184960. Its totient is φ = 22208256.

The previous prime is 55672723. The next prime is 55672741. The reversal of 55672736 is 63727655.

It is a super-3 number, since 3×55672736³ (a number of 24 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (41) 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 = 55672693 and 55672702.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 438305 + ... + 438431.

It is an arithmetic number, because the mean of its divisors is an integer number (1397760).

Almost surely, 2^55672736 is an apocalyptic number.

55672736 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55672736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67092480).

55672736 is an abundant number, since it is smaller than the sum of its proper divisors (78512224).

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

55672736 is a wasteful number, since it uses less digits than its factorization.

55672736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 258 counting only the distinct ones).

The product of its digits is 264600, while the sum is 41.

The square root of 55672736 is about 7461.4164875042. The cubic root of 55672736 is about 381.8395020322.

The spelling of 55672736 in words is "fifty-five million, six hundred seventy-two thousand, seven hundred thirty-six".