72784972 has 48 divisors (see below), whose sum is σ = 150716160. Its totient is φ = 30431808.

The previous prime is 72784969. The next prime is 72784979. The reversal of 72784972 is 27948727.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (72784979) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21123 + ... + 24325.

It is an arithmetic number, because the mean of its divisors is an integer number (3139920).

Almost surely, 2^72784972 is an apocalyptic number.

It is an amenable number.

72784972 is an abundant number, since it is smaller than the sum of its proper divisors (77931188).

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

72784972 is a wasteful number, since it uses less digits than its factorization.

72784972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3262 (or 3260 counting only the distinct ones).

The product of its digits is 395136, while the sum is 46.

The square root of 72784972 is about 8531.4109032446. The cubic root of 72784972 is about 417.5231622083.

The spelling of 72784972 in words is "seventy-two million, seven hundred eighty-four thousand, nine hundred seventy-two".