72351405 has 96 divisors (see below), whose sum is σ = 155001600. Its totient is φ = 30468096.

The previous prime is 72351403. The next prime is 72351407. The reversal of 72351405 is 50415327.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (72351403) and next prime (72351407).

It is not a de Polignac number, because 72351405 - 2¹ = 72351403 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72351401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 315831 + ... + 316059.

It is an arithmetic number, because the mean of its divisors is an integer number (1614600).

Almost surely, 2^72351405 is an apocalyptic number.

It is an amenable number.

72351405 is an abundant number, since it is smaller than the sum of its proper divisors (82650195).

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

72351405 is a wasteful number, since it uses less digits than its factorization.

72351405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 72351405 is about 8505.9629084543. The cubic root of 72351405 is about 416.6924737793.

The spelling of 72351405 in words is "seventy-two million, three hundred fifty-one thousand, four hundred five".