72261696 has 168 divisors, whose sum is σ = 220882464. Its totient is φ = 20766720.

The previous prime is 72261691. The next prime is 72261719. The reversal of 72261696 is 69616227.

It is a Harshad number since it is a multiple of its sum of digits (39).

Its product of digits (54432) is a multiple of the sum of its prime factors (189).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72261691) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 551551 + ... + 551681.

Almost surely, 2^72261696 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 72261696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110441232).

72261696 is an abundant number, since it is smaller than the sum of its proper divisors (148620768).

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

72261696 is a wasteful number, since it uses less digits than its factorization.

72261696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 166 counting only the distinct ones).

The product of its digits is 54432, while the sum is 39.

The square root of 72261696 is about 8500.6879721585. The cubic root of 72261696 is about 416.5201826056.

The spelling of 72261696 in words is "seventy-two million, two hundred sixty-one thousand, six hundred ninety-six".