72467352 has 64 divisors (see below), whose sum is σ = 203148000. Its totient is φ = 23933952.

The previous prime is 72467333. The next prime is 72467359. The reversal of 72467352 is 25376427.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72467359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22924 + ... + 25892.

Almost surely, 2^72467352 is an apocalyptic number.

72467352 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 72467352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101574000).

72467352 is an abundant number, since it is smaller than the sum of its proper divisors (130680648).

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

72467352 is a wasteful number, since it uses less digits than its factorization.

72467352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3097 (or 3087 counting only the distinct ones).

The product of its digits is 70560, while the sum is 36.

The square root of 72467352 is about 8512.7758105098. The cubic root of 72467352 is about 416.9149456465.

The spelling of 72467352 in words is "seventy-two million, four hundred sixty-seven thousand, three hundred fifty-two".