7401672 has 32 divisors (see below), whose sum is σ = 20560800. Its totient is φ = 2467152.

The previous prime is 7401649. The next prime is 7401677. The reversal of 7401672 is 2761047.

It is a hoax number, since the sum of its digits (27) 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 (27).

It is not an unprimeable number, because it can be changed into a prime (7401677) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16918 + ... + 17349.

It is an arithmetic number, because the mean of its divisors is an integer number (642525).

Almost surely, 2^7401672 is an apocalyptic number.

7401672 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

7401672 is an abundant number, since it is smaller than the sum of its proper divisors (13159128).

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

7401672 is a wasteful number, since it uses less digits than its factorization.

7401672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34282 (or 34272 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 7401672 is about 2720.6014041017. The cubic root of 7401672 is about 194.8841915913.

It can be divided in two parts, 74016 and 72, that added together give a cube (74088 = 42³).

The spelling of 7401672 in words is "seven million, four hundred one thousand, six hundred seventy-two".