72661374 has 48 divisors (see below), whose sum is σ = 164131968. Its totient is φ = 24091992.

The previous prime is 72661367. The next prime is 72661397. The reversal of 72661374 is 47316627.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148959 + ... + 149445.

It is an arithmetic number, because the mean of its divisors is an integer number (3419416).

Almost surely, 2^72661374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72661374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82065984).

72661374 is an abundant number, since it is smaller than the sum of its proper divisors (91470594).

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

72661374 is a wasteful number, since it uses less digits than its factorization.

72661374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 799 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 72661374 is about 8524.1641232440. The cubic root of 72661374 is about 417.2866927625.

The spelling of 72661374 in words is "seventy-two million, six hundred sixty-one thousand, three hundred seventy-four".