73782672 has 80 divisors (see below), whose sum is σ = 196320768. Its totient is φ = 23869440.

The previous prime is 73782647. The next prime is 73782673. The reversal of 73782672 is 27628737.

It is not an unprimeable number, because it can be changed into a prime (73782673) 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, 330753 + ... + 330975.

Almost surely, 2^73782672 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 73782672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98160384).

73782672 is an abundant number, since it is smaller than the sum of its proper divisors (122538096).

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

73782672 is a wasteful number, since it uses less digits than its factorization.

73782672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 402 counting only the distinct ones).

The product of its digits is 197568, while the sum is 42.

The square root of 73782672 is about 8589.6840454117. The cubic root of 73782672 is about 419.4222441469.

The spelling of 73782672 in words is "seventy-three million, seven hundred eighty-two thousand, six hundred seventy-two".