72037664 has 48 divisors (see below), whose sum is σ = 150796800. Its totient is φ = 33778944.

The previous prime is 72037661. The next prime is 72037673. The reversal of 72037664 is 46673027.

It is not an unprimeable number, because it can be changed into a prime (72037661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65729 + ... + 66815.

It is an arithmetic number, because the mean of its divisors is an integer number (3141600).

Almost surely, 2^72037664 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 72037664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75398400).

72037664 is an abundant number, since it is smaller than the sum of its proper divisors (78759136).

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

72037664 is a wasteful number, since it uses less digits than its factorization.

72037664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 35.

The square root of 72037664 is about 8487.5004565537. The cubic root of 72037664 is about 416.0892929624.

The spelling of 72037664 in words is "seventy-two million, thirty-seven thousand, six hundred sixty-four".