55782972 has 144 divisors (see below), whose sum is σ = 171601920. Its totient is φ = 15621984.

The previous prime is 55782971. The next prime is 55782973. The reversal of 55782972 is 27928755.

It is a happy number.

55782972 is a `hidden beast` number, since 5 + 578 + 2 + 9 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (55782971) and next prime (55782973).

It is a super-2 number, since 2×55782972² = 6223479930305568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55782971) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 439173 + ... + 439299.

It is an arithmetic number, because the mean of its divisors is an integer number (1191680).

Almost surely, 2^55782972 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 55782972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85800960).

55782972 is an abundant number, since it is smaller than the sum of its proper divisors (115818948).

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

55782972 is a wasteful number, since it uses less digits than its factorization.

55782972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 222 counting only the distinct ones).

The product of its digits is 352800, while the sum is 45.

The square root of 55782972 is about 7468.7999035990. The cubic root of 55782972 is about 382.0913590503.

The spelling of 55782972 in words is "fifty-five million, seven hundred eighty-two thousand, nine hundred seventy-two".