72175974 has 64 divisors (see below), whose sum is σ = 162025920. Its totient is φ = 21288960.

The previous prime is 72175969. The next prime is 72175979. The reversal of 72175974 is 47957127.

It is an interprime number because it is at equal distance from previous prime (72175969) and next prime (72175979).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72175979) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 256714 + ... + 256994.

It is an arithmetic number, because the mean of its divisors is an integer number (2531655).

Almost surely, 2^72175974 is an apocalyptic number.

72175974 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 72175974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81012960).

72175974 is an abundant number, since it is smaller than the sum of its proper divisors (89849946).

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

72175974 is a wasteful number, since it uses less digits than its factorization.

72175974 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425.

The product of its digits is 123480, while the sum is 42.

The square root of 72175974 is about 8495.6444134627. The cubic root of 72175974 is about 416.3554154100.

The spelling of 72175974 in words is "seventy-two million, one hundred seventy-five thousand, nine hundred seventy-four".