72051192 has 96 divisors (see below), whose sum is σ = 212160000. Its totient is φ = 22006080.

The previous prime is 72051169. The next prime is 72051193. The reversal of 72051192 is 29115027.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72051193) 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, 41559 + ... + 43257.

It is an arithmetic number, because the mean of its divisors is an integer number (2210000).

Almost surely, 2^72051192 is an apocalyptic number.

72051192 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72051192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106080000).

72051192 is an abundant number, since it is smaller than the sum of its proper divisors (140108808).

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

72051192 is a wasteful number, since it uses less digits than its factorization.

72051192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1761 (or 1754 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 72051192 is about 8488.2973557717. The cubic root of 72051192 is about 416.1153372256.

The spelling of 72051192 in words is "seventy-two million, fifty-one thousand, one hundred ninety-two".